659.5 is what percent of 747.5 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 747.5 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 747.5, so we can write it down as 100%=747.5.
4. We know, that x% equals 659.5 of the output value, so we can write it down as x%=659.5.
5. Now we have two simple equations:
1) 100%=747.5
2) x%=659.5
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=747.5/659.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 659.5 is what percent of 747.5

100%/x%=747.5/659.5
(100/x)*x=(747.5/659.5)*x       - we multiply both sides of the equation by x
100=1.1334344200152*x       - we divide both sides of the equation by (1.1334344200152) to get x
100/1.1334344200152=x
88.227424749164=x
x=88.227424749164

now we have:
659.5 is 88.227424749164% of 747.5