10.75 is what percent of 11.61 - 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 11.61 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 11.61, so we can write it down as 100%=11.61.
4. We know, that x% equals 10.75 of the output value, so we can write it down as x%=10.75.
5. Now we have two simple equations:
1) 100%=11.61
2) x%=10.75
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%=11.61/10.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.75 is what percent of 11.61

100%/x%=11.61/10.75
(100/x)*x=(11.61/10.75)*x       - we multiply both sides of the equation by x
100=1.08*x       - we divide both sides of the equation by (1.08) to get x
100/1.08=x
92.5925925926=x
x=92.5925925926

now we have:
10.75 is 92.5925925926% of 11.61