1097.16 is what percent of 1169.88 - 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 1169.88 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 1169.88, so we can write it down as 100%=1169.88.
4. We know, that x% equals 1097.16 of the output value, so we can write it down as x%=1097.16.
5. Now we have two simple equations:
1) 100%=1169.88
2) x%=1097.16
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%=1169.88/1097.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1097.16 is what percent of 1169.88

100%/x%=1169.88/1097.16
(100/x)*x=(1169.88/1097.16)*x       - we multiply both sides of the equation by x
100=1.0662802143717*x       - we divide both sides of the equation by (1.0662802143717) to get x
100/1.0662802143717=x
93.783977843881=x
x=93.783977843881

now we have:
1097.16 is 93.783977843881% of 1169.88