89.95 is what percent of 109.95 - 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 109.95 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 109.95, so we can write it down as 100%=109.95.
4. We know, that x% equals 89.95 of the output value, so we can write it down as x%=89.95.
5. Now we have two simple equations:
1) 100%=109.95
2) x%=89.95
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%=109.95/89.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89.95 is what percent of 109.95

100%/x%=109.95/89.95
(100/x)*x=(109.95/89.95)*x       - we multiply both sides of the equation by x
100=1.2223457476376*x       - we divide both sides of the equation by (1.2223457476376) to get x
100/1.2223457476376=x
81.80991359709=x
x=81.80991359709

now we have:
89.95 is 81.80991359709% of 109.95