887.75 is what percent of 1040 - 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 1040 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 1040, so we can write it down as 100%=1040.
4. We know, that x% equals 887.75 of the output value, so we can write it down as x%=887.75.
5. Now we have two simple equations:
1) 100%=1040
2) x%=887.75
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%=1040/887.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 887.75 is what percent of 1040

100%/x%=1040/887.75
(100/x)*x=(1040/887.75)*x       - we multiply both sides of the equation by x
100=1.1715009856378*x       - we divide both sides of the equation by (1.1715009856378) to get x
100/1.1715009856378=x
85.360576923077=x
x=85.360576923077

now we have:
887.75 is 85.360576923077% of 1040