1135.5 is what percent of 1169 - 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 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, so we can write it down as 100%=1169.
4. We know, that x% equals 1135.5 of the output value, so we can write it down as x%=1135.5.
5. Now we have two simple equations:
1) 100%=1169
2) x%=1135.5
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%=1169/1135.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1135.5 is what percent of 1169

100%/x%=1169/1135.5
(100/x)*x=(1169/1135.5)*x       - we multiply both sides of the equation by x
100=1.0295024218406*x       - we divide both sides of the equation by (1.0295024218406) to get x
100/1.0295024218406=x
97.134302822926=x
x=97.134302822926

now we have:
1135.5 is 97.134302822926% of 1169