40.38 is what percent of 513.98 - 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 513.98 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 513.98, so we can write it down as 100%=513.98.
4. We know, that x% equals 40.38 of the output value, so we can write it down as x%=40.38.
5. Now we have two simple equations:
1) 100%=513.98
2) x%=40.38
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%=513.98/40.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.38 is what percent of 513.98

100%/x%=513.98/40.38
(100/x)*x=(513.98/40.38)*x       - we multiply both sides of the equation by x
100=12.72857850421*x       - we divide both sides of the equation by (12.72857850421) to get x
100/12.72857850421=x
7.8563368224445=x
x=7.8563368224445

now we have:
40.38 is 7.8563368224445% of 513.98