Question

Find 6.5% of 400.

Answer 1

Hint: The percentage of any number is the amount in each hundred. We can explain by an example. When we say a student gets a percentage of 75% that means the student got 75 marks out of 100. The percentage number is compared out of 100. The student’s total marks do not need to be 100 but it is easy to explain with reference to 100. Percentages are often used to express a proportionate part of a total. The per cent value is computed by multiplying the numeric value of the ratio by 100. Now, we need to find the percentage out of 400. For that, we need to multiply the percentage by 400.

Complete step-by-step answer:
We need to understand the meaning of percentage.
The percentage of any number is the amount in each hundred. The percentage number is compared out of 100.
Now, we have asked to find the percentage with respect to 400.
The percentage 6.5 % can also be expressed as $ \dfrac{6.5}{100}$ .
Now to find the percentage out of 400, so we need to multiply the fraction by 400.
Therefore, 6.5% of 400 is $ \dfrac{6.5}{100}\times 400$ .
Solving it further we get,
$ \dfrac{6.5}{100}\times 400=26$ .
Therefore, the value of 6.5 % of 400 is 26.

Note: Now the value we have got is the part out of 400. We can check this finding the ratio out of 400. The ratio is $ \dfrac{26}{400}$ . Simplifying we get, $ \dfrac{26}{400}=\dfrac{6.5}{100}$ . Also, we can see that percentage is a dimensionless number.