Question

10 13 ? start fraction, 13, divided by, 10, end fraction of a number is what percentage of that number?

Answer 1

130%

Explanation:

A percent is a fraction out of 100. What can we multiply
`(13)/(10)` by converting it to a fraction out of 100?
`(13)/(10)` ·
`(10)/(10)` =
`(130)/(100)`.
`(13)/(10)` = 130%

Answer 2

130%

Explanation:

Let x be the unknown number.

`(13)/(10)` of the unknown number =
`(13)/(10)x=1.3x`

We need to find the
`(13)/(10)` of a number is what percent of that number.

`\%=\frac{\text{New value}}{\text{Initial value}}* 100`

Substitute 1.3x for new value and x for initial value in the above formula.

`\%=(1.3x)/(x)* 100`

Cancel out the common factors.

`\%=1.3* 100`

`\%=130`

Therefore,
`(13)/(10)` of a number is 130% of that number.