20.59 is what percent of 503.02 - 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 503.02 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 503.02, so we can write it down as 100%=503.02.
4. We know, that x% equals 20.59 of the output value, so we can write it down as x%=20.59.
5. Now we have two simple equations:
1) 100%=503.02
2) x%=20.59
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%=503.02/20.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.59 is what percent of 503.02

100%/x%=503.02/20.59
(100/x)*x=(503.02/20.59)*x       - we multiply both sides of the equation by x
100=24.430305973774*x       - we divide both sides of the equation by (24.430305973774) to get x
100/24.430305973774=x
4.0932766092799=x
x=4.0932766092799

now we have:
20.59 is 4.0932766092799% of 503.02