942.87 is what percent of 11785.83 - 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 11785.83 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 11785.83, so we can write it down as 100%=11785.83.
4. We know, that x% equals 942.87 of the output value, so we can write it down as x%=942.87.
5. Now we have two simple equations:
1) 100%=11785.83
2) x%=942.87
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%=11785.83/942.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 942.87 is what percent of 11785.83

100%/x%=11785.83/942.87
(100/x)*x=(11785.83/942.87)*x       - we multiply both sides of the equation by x
100=12.499952273378*x       - we divide both sides of the equation by (12.499952273378) to get x
100/12.499952273378=x
8.0000305451546=x
x=8.0000305451546

now we have:
942.87 is 8.0000305451546% of 11785.83