81.97 is what percent of 89.8 - 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 89.8 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 89.8, so we can write it down as 100%=89.8.
4. We know, that x% equals 81.97 of the output value, so we can write it down as x%=81.97.
5. Now we have two simple equations:
1) 100%=89.8
2) x%=81.97
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%=89.8/81.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 81.97 is what percent of 89.8

100%/x%=89.8/81.97
(100/x)*x=(89.8/81.97)*x       - we multiply both sides of the equation by x
100=1.0955227522264*x       - we divide both sides of the equation by (1.0955227522264) to get x
100/1.0955227522264=x
91.280623608018=x
x=91.280623608018

now we have:
81.97 is 91.280623608018% of 89.8