58.25 is what percent of 53.97 - 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 53.97 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 53.97, so we can write it down as 100%=53.97.
4. We know, that x% equals 58.25 of the output value, so we can write it down as x%=58.25.
5. Now we have two simple equations:
1) 100%=53.97
2) x%=58.25
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%=53.97/58.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.25 is what percent of 53.97

100%/x%=53.97/58.25
(100/x)*x=(53.97/58.25)*x       - we multiply both sides of the equation by x
100=0.92652360515021*x       - we divide both sides of the equation by (0.92652360515021) to get x
100/0.92652360515021=x
107.93033166574=x
x=107.93033166574

now we have:
58.25 is 107.93033166574% of 53.97