39.27 is what percent of 39.98 - 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 39.98 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 39.98, so we can write it down as 100%=39.98.
4. We know, that x% equals 39.27 of the output value, so we can write it down as x%=39.27.
5. Now we have two simple equations:
1) 100%=39.98
2) x%=39.27
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%=39.98/39.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.27 is what percent of 39.98

100%/x%=39.98/39.27
(100/x)*x=(39.98/39.27)*x       - we multiply both sides of the equation by x
100=1.0180799592564*x       - we divide both sides of the equation by (1.0180799592564) to get x
100/1.0180799592564=x
98.224112056028=x
x=98.224112056028

now we have:
39.27 is 98.224112056028% of 39.98