Step-by-Step Cm to Percentage Conversion with Examples
Overview on Percentage
A percentage is a number or ratio that can be expressed as a fraction of 100. If we need to calculate percent of a number, divide the number by the whole and multiply by 100.
In academics, the marks obtained in any subject are calculated in terms of percentage. Ramesh got 78% of marks in his final exam. So, this percentage is calculated on account of the total marks obtained by Ramesh, in all subjects to the total marks.Percent means “per hundred”. 20% means 20 per 100. Percent always compares a quantity to 100 only.
A percent can be written as a fraction or a decimal.
Thus, 40% (as percentage) or $\dfrac{40}{100}$ (as fraction) or 0.40 (as decimal)
So many things in life involve percentage, from taxes to stock prices and more.
Metric Measures as Percentages
Metrics conversion chart
The table is of important units to remember
The metric measures as percentages. Now we will learn how to convert the cent as percentage of a dollar, centimeter as percentage of a meter, and 1 cent is equal to how many meters.
Metric units of measurement are the metric units of measurements used for different quantities.
The metric system of units of measurement is based on powers of 10.
Prefixes are used to indicate which power of 10 is involved.
The prefix “centi” means $\dfrac{1}{100}$th
e.g. A centimeter is $\dfrac{1}{100}$ th of a meter.
The prefix “milli” means $\dfrac{1}{1000}$ th
- Cm to percentage
Convert cm into percentage
1 % = 1 cm/m (cm per meter length).
Centimeter is a unit of length in the metric system, equal to one hundredth of a meter or 0.01 m.
For example, a slope of 100 % is equal to a slope of 100 cm in height for 1 m in length
Cent as percentage of a dollar
100 cent = 1 dollar
1 cent = $\dfrac{1}{100}$ of a dollar
= 1 % of a dollar
So, we get, 2 cent
= 2 % of a dollar
10 cent = 10 % of a dollar
For example, to find the value of 4 % of $75 = \dfrac{4}{100} \times 75 = 3$
Centimeter as percentage of a meter
100 cm = 1 meter
1 cm = $\dfrac{1}{100}$ of a meter
= 1 % of a meter
So, we get, 3 cm
= 3% of a meter
20 cm
= 20 % of a meter
For example, find the value of 5% of 120 m = $\dfrac{5}{100} × \times 120$ m = 6 m
1 cent is equal to how many square meters
Cent is a traditional unit of area measurement used majorly in India. This unit is widely used for measuring smaller plots and land parcels of around one acre.
These unit measures are used to measure the area of land.
40.46 square meter
One cent is equal to 40.46 square meters, and 1 square meter is 0.02471 cents.
How to Calculate Cents?
Conversion of cent to sq.feet
To convert cents to square feet, multiply the area in cents by 435.6.
Example: How much is 1 cent land?
Ans: 435.56 square feet
1 cent is equal to 435.56 square feet, and both are conventional land measurement units used to measure property size.
Convert meter Square to Cent
To calculate square meter to cent, wherein square meter is equal to 0.02471 Cent, multiply the figure in square meter by 0.02471.
1 sq.mt = 0.02471 cents
Likewise, 2 sq.mt = 0.04942 cents
3 sq.mt = 0.07413 cents and so on.
Solved Examples
Q1 Find a percentage?
20 % of 80=?
Ans: Percentage= rate x base
$\mathrm{P}=20 \% \times 80$
$\mathrm{P}=0.20 \times 80$
$\mathrm{P}=16$
Q2 Convert 356 centimeters to meters.
Ans: 1 cm=0.01 m
356 cm= 356 x 0.01
356 cm= 3.56 m
Therefore, 356 cm is equivalent to 3.56 m.
Q3 Convert 1000 cents into square meters.
Ans: We will multiply,
1000 x 40.468564224 = 40468.564224 square meters.
Practice Questions
Q1 Rachel has a rope of length 40 m. She has given 12 m 53 cm to Sam, 18 m 35 cm to Ron and 9 m 7 cm to Jack. What length of rope is still left with Rachel?
Ans: 0.05 m
Q2 In an exam Ashley secured 332 marks. If she secured 83 % marks, find the maximum marks.
Ans: Ashley got 332 marks out of 400 marks.
Q3 3 Convert 75000 sq.cms to sq.mt
Ans: 7.5 square meters.
Summary
In mathematics, a percentage is a way of expressing in numbers the proportional parts of something. For example, 70% is $\dfrac{7}{10}$. 0.7 in decimal form and 20% could be read as $\dfrac{2}{5}$ or 0.4 when written in decimal form. Metric measurements come from a long history of systems that used relative units as a form of measurement - like inches or pounds - that were later standardized into absolute units based on single units such as meters or kilogram.We studied about conversions of sq.m to cm sq., cent to sq.mt etc. These conversions make our everyday life easier because they are of much use.
FAQs on How to Convert Centimeters to Percentage
1. What does it mean to convert centimetres (cm) to a percentage?
Converting centimetres (cm) to a percentage means expressing a specific length as a fraction of a total reference length, where the total is considered 100%. For instance, stating that 50 cm is 50% of 1 metre implies that the 50 cm portion represents half of the total 1-metre length. It's a way to understand proportions and comparisons.
2. What is the step-by-step method to express a length in cm as a percentage of a total length?
To convert a length in centimetres to a percentage of a total, follow these core steps as per the NCERT syllabus for the 2025-26 session:
Ensure Same Units: First, convert both the 'part' length and the 'total' length into the same unit, which is typically centimetres. For example, convert metres to centimetres by multiplying by 100.
Form a Fraction: Create a fraction by placing the part length in the numerator and the total length in the denominator (Part ÷ Total).
Multiply by 100: Multiply the resulting fraction by 100 to find the final percentage. The formula is: Percentage = (Part Length / Total Length) × 100.
3. How can you calculate what percentage 25 cm is of 1 metre?
To find what percentage 25 cm is of 1 metre, you must first make the units consistent. Since 1 metre = 100 centimetres, our total length is 100 cm. Now, apply the percentage formula: Percentage = (25 cm / 100 cm) × 100. This calculation simplifies to 0.25 × 100, which equals 25%.
4. Why is it important to have both measurements in the same unit before calculating the percentage?
It is crucial to have both measurements in the same unit because a percentage is a ratio that compares two quantities. A ratio provides a fair and accurate comparison only when the units are identical. Directly comparing 20 cm to 2 metres would be misleading. By converting 2 metres to 200 cm, you ensure you are comparing 'like with like', which makes the resulting percentage meaningful and correct.
5. Can you provide a real-world example of when you might need to convert cm to a percentage?
A common real-world example is in sewing or construction. If a tailor has a 150 cm piece of fabric and uses 30 cm for a sleeve, they might calculate the percentage of fabric used. By calculating (30 cm / 150 cm) × 100 = 20%, they understand that 20% of the material was used for the sleeve. This helps in managing inventory and planning material usage for projects.
6. How do you find a certain percentage of a length in centimetres? For instance, what is 40% of a 200 cm rope?
To find a percentage of a given length, you first convert the percentage into a fraction or decimal and then multiply it by the total length. To find 40% of a 200 cm rope, follow these steps:
Convert the percentage to a fraction: 40% = 40/100.
Multiply this fraction by the total length: (40/100) × 200 cm.
The calculation is (40 × 200) / 100 = 8000 / 100 = 80 cm. Therefore, 40% of the 200 cm rope is 80 cm long.
7. What happens if you express a larger length as a percentage of a smaller length, such as 150 cm as a percentage of 1 metre?
When you express a larger length as a percentage of a smaller one, the result will always be greater than 100%. For example, to express 150 cm as a percentage of 1 metre (100 cm), the calculation is (150 cm / 100 cm) × 100 = 1.5 × 100 = 150%. This result simply means the 'part' is 1.5 times the size of the 'total' reference length, which is a key concept in understanding growth and scale.
8. How is converting cm to a percentage related to the concept of converting fractions to a percentage?
The two concepts are directly linked and follow the same mathematical logic. When converting cm to a percentage, your first step is to create a fraction that represents the 'part' length out of the 'total' length (e.g., 20 cm out of 100 cm becomes the fraction 20/100). The subsequent step, multiplying by 100, is the standard procedure for converting any fraction to a percentage. This shows that calculating percentages with units is a practical application of fraction theory.
