71.5 is what percent of 432.73 - 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 432.73 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 432.73, so we can write it down as 100%=432.73.
4. We know, that x% equals 71.5 of the output value, so we can write it down as x%=71.5.
5. Now we have two simple equations:
1) 100%=432.73
2) x%=71.5
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%=432.73/71.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71.5 is what percent of 432.73

100%/x%=432.73/71.5
(100/x)*x=(432.73/71.5)*x       - we multiply both sides of the equation by x
100=6.0521678321678*x       - we divide both sides of the equation by (6.0521678321678) to get x
100/6.0521678321678=x
16.523005107111=x
x=16.523005107111

now we have:
71.5 is 16.523005107111% of 432.73