91.89 is what percent of 103.64 - 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 103.64 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 103.64, so we can write it down as 100%=103.64.
4. We know, that x% equals 91.89 of the output value, so we can write it down as x%=91.89.
5. Now we have two simple equations:
1) 100%=103.64
2) x%=91.89
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%=103.64/91.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 91.89 is what percent of 103.64

100%/x%=103.64/91.89
(100/x)*x=(103.64/91.89)*x       - we multiply both sides of the equation by x
100=1.1278702796822*x       - we divide both sides of the equation by (1.1278702796822) to get x
100/1.1278702796822=x
88.662678502509=x
x=88.662678502509

now we have:
91.89 is 88.662678502509% of 103.64