90.62 is what percent of 98.06 - 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 98.06 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 98.06, so we can write it down as 100%=98.06.
4. We know, that x% equals 90.62 of the output value, so we can write it down as x%=90.62.
5. Now we have two simple equations:
1) 100%=98.06
2) x%=90.62
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%=98.06/90.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90.62 is what percent of 98.06

100%/x%=98.06/90.62
(100/x)*x=(98.06/90.62)*x       - we multiply both sides of the equation by x
100=1.082101081439*x       - we divide both sides of the equation by (1.082101081439) to get x
100/1.082101081439=x
92.412808484601=x
x=92.412808484601

now we have:
90.62 is 92.412808484601% of 98.06