40.02 is what percent of 72.39 - 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 72.39 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 72.39, so we can write it down as 100%=72.39.
4. We know, that x% equals 40.02 of the output value, so we can write it down as x%=40.02.
5. Now we have two simple equations:
1) 100%=72.39
2) x%=40.02
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%=72.39/40.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.02 is what percent of 72.39

100%/x%=72.39/40.02
(100/x)*x=(72.39/40.02)*x       - we multiply both sides of the equation by x
100=1.8088455772114*x       - we divide both sides of the equation by (1.8088455772114) to get x
100/1.8088455772114=x
55.283878988811=x
x=55.283878988811

now we have:
40.02 is 55.283878988811% of 72.39