59.03 is what percent of 390.27 - 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 390.27 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 390.27, so we can write it down as 100%=390.27.
4. We know, that x% equals 59.03 of the output value, so we can write it down as x%=59.03.
5. Now we have two simple equations:
1) 100%=390.27
2) x%=59.03
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%=390.27/59.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59.03 is what percent of 390.27

100%/x%=390.27/59.03
(100/x)*x=(390.27/59.03)*x       - we multiply both sides of the equation by x
100=6.6113840420125*x       - we divide both sides of the equation by (6.6113840420125) to get x
100/6.6113840420125=x
15.125425987137=x
x=15.125425987137

now we have:
59.03 is 15.125425987137% of 390.27