1045.58 is what percent of 1092.18 - 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 1092.18 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 1092.18, so we can write it down as 100%=1092.18.
4. We know, that x% equals 1045.58 of the output value, so we can write it down as x%=1045.58.
5. Now we have two simple equations:
1) 100%=1092.18
2) x%=1045.58
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%=1092.18/1045.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1045.58 is what percent of 1092.18

100%/x%=1092.18/1045.58
(100/x)*x=(1092.18/1045.58)*x       - we multiply both sides of the equation by x
100=1.0445685648157*x       - we divide both sides of the equation by (1.0445685648157) to get x
100/1.0445685648157=x
95.733304034134=x
x=95.733304034134

now we have:
1045.58 is 95.733304034134% of 1092.18