478.59 is what percent of 503.25 - 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 503.25 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 503.25, so we can write it down as 100%=503.25.
4. We know, that x% equals 478.59 of the output value, so we can write it down as x%=478.59.
5. Now we have two simple equations:
1) 100%=503.25
2) x%=478.59
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%=503.25/478.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 478.59 is what percent of 503.25

100%/x%=503.25/478.59
(100/x)*x=(503.25/478.59)*x       - we multiply both sides of the equation by x
100=1.0515263586786*x       - we divide both sides of the equation by (1.0515263586786) to get x
100/1.0515263586786=x
95.099850968703=x
x=95.099850968703

now we have:
478.59 is 95.099850968703% of 503.25