89.97 is what percent of 109.98 - 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 109.98 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 109.98, so we can write it down as 100%=109.98.
4. We know, that x% equals 89.97 of the output value, so we can write it down as x%=89.97.
5. Now we have two simple equations:
1) 100%=109.98
2) x%=89.97
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%=109.98/89.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89.97 is what percent of 109.98

100%/x%=109.98/89.97
(100/x)*x=(109.98/89.97)*x       - we multiply both sides of the equation by x
100=1.2224074691564*x       - we divide both sides of the equation by (1.2224074691564) to get x
100/1.2224074691564=x
81.805782869613=x
x=81.805782869613

now we have:
89.97 is 81.805782869613% of 109.98