72930.87 is what percent of 102458.24 - 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 102458.24 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 102458.24, so we can write it down as 100%=102458.24.
4. We know, that x% equals 72930.87 of the output value, so we can write it down as x%=72930.87.
5. Now we have two simple equations:
1) 100%=102458.24
2) x%=72930.87
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%=102458.24/72930.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72930.87 is what percent of 102458.24

100%/x%=102458.24/72930.87
(100/x)*x=(102458.24/72930.87)*x       - we multiply both sides of the equation by x
100=1.4048679249267*x       - we divide both sides of the equation by (1.4048679249267) to get x
100/1.4048679249267=x
71.181068501665=x
x=71.181068501665

now we have:
72930.87 is 71.181068501665% of 102458.24