1075.85 is what percent of 1174.5 - 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 1174.5 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 1174.5, so we can write it down as 100%=1174.5.
4. We know, that x% equals 1075.85 of the output value, so we can write it down as x%=1075.85.
5. Now we have two simple equations:
1) 100%=1174.5
2) x%=1075.85
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%=1174.5/1075.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1075.85 is what percent of 1174.5

100%/x%=1174.5/1075.85
(100/x)*x=(1174.5/1075.85)*x       - we multiply both sides of the equation by x
100=1.0916949388855*x       - we divide both sides of the equation by (1.0916949388855) to get x
100/1.0916949388855=x
91.600681140911=x
x=91.600681140911

now we have:
1075.85 is 91.600681140911% of 1174.5