54.72 is what percent of 82.29 - 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 82.29 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 82.29, so we can write it down as 100%=82.29.
4. We know, that x% equals 54.72 of the output value, so we can write it down as x%=54.72.
5. Now we have two simple equations:
1) 100%=82.29
2) x%=54.72
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%=82.29/54.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.72 is what percent of 82.29

100%/x%=82.29/54.72
(100/x)*x=(82.29/54.72)*x       - we multiply both sides of the equation by x
100=1.5038377192982*x       - we divide both sides of the equation by (1.5038377192982) to get x
100/1.5038377192982=x
66.496536638717=x
x=66.496536638717

now we have:
54.72 is 66.496536638717% of 82.29