Question

Find 76.4% of 202.1. Round to the nearest thousandth.

Answer 1

Solve for x:
`(76.4)/(100) = (x)/(202.1)`

`(76.4 * 202.1)/(100) = x`

`(15,440.44)/(100) = x`

`x = 154.4044`

Round to the nearest thousandth

`x = 154.404`

Explanation:

Percent (%) means per 100. So 76.4% is equivilant to
`(76.4)/(100)`.

Whenever you want to find the percentage of something set your equation up as I did initially.

`(76.4)/(100) = (x)/(202.1)`

This works if you knew what 76.4% of something is and you're trying to find what the total is. For example, you know you receive 76.4% of your total pay after taxes and health care, but what was your total pay? Let's say you take home $45,000.

`(76.4)/(100) = (45000)/(x)`

Solve for x

`76.4 * x = 45,000 * 100\\x = (4,500,000)/(76.4)\\x = $58,900.52`

Answer 2

154.404

Explanation:

76.4% of 202.1 is 154.4044.

Rounded to nearest 1000s, it becomes 154.404