532.59 is what percent of 746.52 - 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 746.52 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 746.52, so we can write it down as 100%=746.52.
4. We know, that x% equals 532.59 of the output value, so we can write it down as x%=532.59.
5. Now we have two simple equations:
1) 100%=746.52
2) x%=532.59
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%=746.52/532.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 532.59 is what percent of 746.52

100%/x%=746.52/532.59
(100/x)*x=(746.52/532.59)*x       - we multiply both sides of the equation by x
100=1.4016785895342*x       - we divide both sides of the equation by (1.4016785895342) to get x
100/1.4016785895342=x
71.343031666935=x
x=71.343031666935

now we have:
532.59 is 71.343031666935% of 746.52