5.02 is what percent of 40.7 - 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 40.7 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 40.7, so we can write it down as 100%=40.7.
4. We know, that x% equals 5.02 of the output value, so we can write it down as x%=5.02.
5. Now we have two simple equations:
1) 100%=40.7
2) x%=5.02
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%=40.7/5.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.02 is what percent of 40.7

100%/x%=40.7/5.02
(100/x)*x=(40.7/5.02)*x       - we multiply both sides of the equation by x
100=8.1075697211155*x       - we divide both sides of the equation by (8.1075697211155) to get x
100/8.1075697211155=x
12.334152334152=x
x=12.334152334152

now we have:
5.02 is 12.334152334152% of 40.7