15.08 is what percent of 502.77 - 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 502.77 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 502.77, so we can write it down as 100%=502.77.
4. We know, that x% equals 15.08 of the output value, so we can write it down as x%=15.08.
5. Now we have two simple equations:
1) 100%=502.77
2) x%=15.08
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%=502.77/15.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.08 is what percent of 502.77

100%/x%=502.77/15.08
(100/x)*x=(502.77/15.08)*x       - we multiply both sides of the equation by x
100=33.340185676393*x       - we divide both sides of the equation by (33.340185676393) to get x
100/33.340185676393=x
2.999383415876=x
x=2.999383415876

now we have:
15.08 is 2.999383415876% of 502.77