58.99 is what percent of 92.99 - 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 92.99 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 92.99, so we can write it down as 100%=92.99.
4. We know, that x% equals 58.99 of the output value, so we can write it down as x%=58.99.
5. Now we have two simple equations:
1) 100%=92.99
2) x%=58.99
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%=92.99/58.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.99 is what percent of 92.99

100%/x%=92.99/58.99
(100/x)*x=(92.99/58.99)*x       - we multiply both sides of the equation by x
100=1.5763688760807*x       - we divide both sides of the equation by (1.5763688760807) to get x
100/1.5763688760807=x
63.436928702011=x
x=63.436928702011

now we have:
58.99 is 63.436928702011% of 92.99