885.43 is what percent of 1105.32 - 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 1105.32 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 1105.32, so we can write it down as 100%=1105.32.
4. We know, that x% equals 885.43 of the output value, so we can write it down as x%=885.43.
5. Now we have two simple equations:
1) 100%=1105.32
2) x%=885.43
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%=1105.32/885.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 885.43 is what percent of 1105.32

100%/x%=1105.32/885.43
(100/x)*x=(1105.32/885.43)*x       - we multiply both sides of the equation by x
100=1.2483426131936*x       - we divide both sides of the equation by (1.2483426131936) to get x
100/1.2483426131936=x
80.106213585206=x
x=80.106213585206

now we have:
885.43 is 80.106213585206% of 1105.32