72.5 is what percent of 40.6 - 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 40.6 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 40.6, so we can write it down as 100%=40.6.
4. We know, that x% equals 72.5 of the output value, so we can write it down as x%=72.5.
5. Now we have two simple equations:
1) 100%=40.6
2) x%=72.5
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%=40.6/72.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.5 is what percent of 40.6

100%/x%=40.6/72.5
(100/x)*x=(40.6/72.5)*x       - we multiply both sides of the equation by x
100=0.56*x       - we divide both sides of the equation by (0.56) to get x
100/0.56=x
178.57142857143=x
x=178.57142857143

now we have:
72.5 is 178.57142857143% of 40.6