485.32 is what percent of 503.32 - 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 503.32 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 503.32, so we can write it down as 100%=503.32.
4. We know, that x% equals 485.32 of the output value, so we can write it down as x%=485.32.
5. Now we have two simple equations:
1) 100%=503.32
2) x%=485.32
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%=503.32/485.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 485.32 is what percent of 503.32

100%/x%=503.32/485.32
(100/x)*x=(503.32/485.32)*x       - we multiply both sides of the equation by x
100=1.0370889310146*x       - we divide both sides of the equation by (1.0370889310146) to get x
100/1.0370889310146=x
96.423746324406=x
x=96.423746324406

now we have:
485.32 is 96.423746324406% of 503.32