807.8 is what percent of 1117.4 - 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 1117.4 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 1117.4, so we can write it down as 100%=1117.4.
4. We know, that x% equals 807.8 of the output value, so we can write it down as x%=807.8.
5. Now we have two simple equations:
1) 100%=1117.4
2) x%=807.8
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%=1117.4/807.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 807.8 is what percent of 1117.4

100%/x%=1117.4/807.8
(100/x)*x=(1117.4/807.8)*x       - we multiply both sides of the equation by x
100=1.3832631839564*x       - we divide both sides of the equation by (1.3832631839564) to get x
100/1.3832631839564=x
72.292822623948=x
x=72.292822623948

now we have:
807.8 is 72.292822623948% of 1117.4