16 is 35% of what?

The formula for Basic Percent Equation is represented by

Percent * Base = Amount

`P*B= A`

we are given `P=35% or 0.35`

`A=16`

by substituting the values, we have

`0.35*B=16`

`B=16/0.35`

`B=45.71`

In other words, `16` is `35% ` of `45.71`

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In order to determine what number is 16 the 35% of assume the number we need to find is x. Then:` `

`(x)(35/100)=16`

`0.35x=16`

Divide both sides by 0.35

`x=16/0.35=45.7`

Therefore the number is 45.7

To verify, multiply 45.7 by 0.35, which is the decimal form of 35%

`(45.7)(0.35)=16`

Approved by eNotes Editorial Team