40.32 is what percent of 72.8 - 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 72.8 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 72.8, so we can write it down as 100%=72.8.
4. We know, that x% equals 40.32 of the output value, so we can write it down as x%=40.32.
5. Now we have two simple equations:
1) 100%=72.8
2) x%=40.32
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%=72.8/40.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.32 is what percent of 72.8

100%/x%=72.8/40.32
(100/x)*x=(72.8/40.32)*x       - we multiply both sides of the equation by x
100=1.8055555555556*x       - we divide both sides of the equation by (1.8055555555556) to get x
100/1.8055555555556=x
55.384615384615=x
x=55.384615384615

now we have:
40.32 is 55.384615384615% of 72.8