507.27 is what percent of 4040.88 - 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 4040.88 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 4040.88, so we can write it down as 100%=4040.88.
4. We know, that x% equals 507.27 of the output value, so we can write it down as x%=507.27.
5. Now we have two simple equations:
1) 100%=4040.88
2) x%=507.27
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%=4040.88/507.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 507.27 is what percent of 4040.88

100%/x%=4040.88/507.27
(100/x)*x=(4040.88/507.27)*x       - we multiply both sides of the equation by x
100=7.9659353007274*x       - we divide both sides of the equation by (7.9659353007274) to get x
100/7.9659353007274=x
12.553453703154=x
x=12.553453703154

now we have:
507.27 is 12.553453703154% of 4040.88