98.73 is what percent of 636.12 - 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 636.12 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 636.12, so we can write it down as 100%=636.12.
4. We know, that x% equals 98.73 of the output value, so we can write it down as x%=98.73.
5. Now we have two simple equations:
1) 100%=636.12
2) x%=98.73
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%=636.12/98.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98.73 is what percent of 636.12

100%/x%=636.12/98.73
(100/x)*x=(636.12/98.73)*x       - we multiply both sides of the equation by x
100=6.4430264357338*x       - we divide both sides of the equation by (6.4430264357338) to get x
100/6.4430264357338=x
15.520656479909=x
x=15.520656479909

now we have:
98.73 is 15.520656479909% of 636.12