98.8 is what percent of 513.01 - 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 513.01 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 513.01, so we can write it down as 100%=513.01.
4. We know, that x% equals 98.8 of the output value, so we can write it down as x%=98.8.
5. Now we have two simple equations:
1) 100%=513.01
2) x%=98.8
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%=513.01/98.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98.8 is what percent of 513.01

100%/x%=513.01/98.8
(100/x)*x=(513.01/98.8)*x       - we multiply both sides of the equation by x
100=5.1924089068826*x       - we divide both sides of the equation by (5.1924089068826) to get x
100/5.1924089068826=x
19.25888384242=x
x=19.25888384242

now we have:
98.8 is 19.25888384242% of 513.01