54.25 is what percent of 71.45 - 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 71.45 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 71.45, so we can write it down as 100%=71.45.
4. We know, that x% equals 54.25 of the output value, so we can write it down as x%=54.25.
5. Now we have two simple equations:
1) 100%=71.45
2) x%=54.25
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%=71.45/54.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.25 is what percent of 71.45

100%/x%=71.45/54.25
(100/x)*x=(71.45/54.25)*x       - we multiply both sides of the equation by x
100=1.3170506912442*x       - we divide both sides of the equation by (1.3170506912442) to get x
100/1.3170506912442=x
75.92722183345=x
x=75.92722183345

now we have:
54.25 is 75.92722183345% of 71.45