Question

FInd 25 % of what number gives 9?

Answer 1

Hint: The formula to calculate percentage is $$Percentage={\displaystyle \frac{Value}{TotalValue}}\times 100\mathrm{\%}$$. Use this formula to calculate the total value when the value and the percentage is given.

Complete step-by-step solution -
A percentage is a number or ratio expressed as a fraction of 100. It is denoted using the percent sign, “%”. It does not have any dimension.
A percentage is a number out of 100. Few examples where percentage representation is used are for marks, in markets for discounts, percent of the tax, and so on.
A whole is represented by 100 % and 0 % means 0.
To calculate the percentage of a quantity, we divide the quantity by the total value and multiply by 100. The formula is given below:
$$Percentage={\displaystyle \frac{Value}{TotalValue}}\times 100\mathrm{\%}..........(1)$$
In our problem, we need to find 25 % of what number is 9.
So, we are given the value and the percentage, we need to find the total value.
Let the total value be x which is the required number.
To find the total value, we substitute the values in equation (1).
The given value is 9 and the percentage is given as 25 %, then the number we require is given as follows:
$$25\mathrm{\%}={\displaystyle \frac{9}{x}}\times 100\mathrm{\%}$$
Solving for x, we get:
$$x={\displaystyle \frac{9}{25}}\times 100$$
Simplifying, we get:
$$x=9\times 4$$
$$x=9\times 4$$
Hence, we have 25 % of 36 as 9.
Hence, the required number is 36.

Note: You may wrongly interpret the question as to find 25 % of the number 9 but it is wrong. You need to find 25 % of what number gives 9. Here we can write it as ${\displaystyle \frac{1}{4}}$ of which number is equal to 9 since we assume that number as a variable.