Question

75 percent of 88 is the same as 60 percent of what number?

Answer 1

75 percent of 88 is the same as 60 percent of 110

Explanation:

Percent just means per hundred, which, translated to math terms, means divided by `100`. That lets us set up the following equation:

`60/100x = 75/100*88`

`=> x = 100/60 * 75/100 * 88 = 110`

So 75 percent of 88 is the same as 60 percent of 110 (which, incidentally, is 22)

Answer 2

110

Explanation:

Let one unknown be `x`

Look at the question step wise:

`color(blue)("75 percent of 88") -> 75/100xx88 = ?`

`color(blue)("is the same as 60 percent :")->75/100xx88 =60/100`

`color(blue)("of")->75/100xx88 =60/100xx x.......(1)`

`color(brown)("Find the value of " x)`
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

`color(brown)("Multiply both sides of equation (1) by 100")`

`100/100 xx75xx88 = 100/100xx60xx x`

`75xx88=60xx x`

`color(brown)("divide both sides by 60")`

`(75xx88)/60 =60/60 xx x`

`x=(75xx88)/60`

`x= 110`