72.6 is what percent of 82.4 - 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 82.4 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 82.4, so we can write it down as 100%=82.4.
4. We know, that x% equals 72.6 of the output value, so we can write it down as x%=72.6.
5. Now we have two simple equations:
1) 100%=82.4
2) x%=72.6
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%=82.4/72.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.6 is what percent of 82.4

100%/x%=82.4/72.6
(100/x)*x=(82.4/72.6)*x       - we multiply both sides of the equation by x
100=1.1349862258953*x       - we divide both sides of the equation by (1.1349862258953) to get x
100/1.1349862258953=x
88.106796116505=x
x=88.106796116505

now we have:
72.6 is 88.106796116505% of 82.4