5.13 is what percent of 500.03 - 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 500.03 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 500.03, so we can write it down as 100%=500.03.
4. We know, that x% equals 5.13 of the output value, so we can write it down as x%=5.13.
5. Now we have two simple equations:
1) 100%=500.03
2) x%=5.13
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%=500.03/5.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.13 is what percent of 500.03

100%/x%=500.03/5.13
(100/x)*x=(500.03/5.13)*x       - we multiply both sides of the equation by x
100=97.471734892788*x       - we divide both sides of the equation by (97.471734892788) to get x
100/97.471734892788=x
1.0259384436934=x
x=1.0259384436934

now we have:
5.13 is 1.0259384436934% of 500.03