Question

Use the appropriate form of the percentage formula.What percent of 14.4 is 11.7? Round to the nearest hundredth of a percent.

Answer 1

Hello there. To solve this question, we'll have to compare the values with two fractions:

To see how much of 14.4 is 11.7, in percentage, we start by considering 14.4 represents 100%, or 100, since we want to find the answer in percent as well.

Then we make:

`(11.7)/(x)=(14.4)/(100)`

Cross multiply the numbers:

`11.7\cdot100=14.4\cdot x`

Divide both sides of the equation by a factor 14.4

`x=(11.7\cdot100)/(14.4)`

Using a calculator, we get that x is equal to:

`81.25`

Therefore, 11.7 is 81.25% of 14.4!