9.75 is what percent of 11.12 - 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 11.12 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 11.12, so we can write it down as 100%=11.12.
4. We know, that x% equals 9.75 of the output value, so we can write it down as x%=9.75.
5. Now we have two simple equations:
1) 100%=11.12
2) x%=9.75
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%=11.12/9.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.75 is what percent of 11.12

100%/x%=11.12/9.75
(100/x)*x=(11.12/9.75)*x       - we multiply both sides of the equation by x
100=1.1405128205128*x       - we divide both sides of the equation by (1.1405128205128) to get x
100/1.1405128205128=x
87.679856115108=x
x=87.679856115108

now we have:
9.75 is 87.679856115108% of 11.12