53.03 is what percent of 577.5 - 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 577.5 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 577.5, so we can write it down as 100%=577.5.
4. We know, that x% equals 53.03 of the output value, so we can write it down as x%=53.03.
5. Now we have two simple equations:
1) 100%=577.5
2) x%=53.03
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%=577.5/53.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.03 is what percent of 577.5

100%/x%=577.5/53.03
(100/x)*x=(577.5/53.03)*x       - we multiply both sides of the equation by x
100=10.890062228927*x       - we divide both sides of the equation by (10.890062228927) to get x
100/10.890062228927=x
9.182683982684=x
x=9.182683982684

now we have:
53.03 is 9.182683982684% of 577.5