5.6 is what percent of 66.85 - 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 66.85 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 66.85, so we can write it down as 100%=66.85.
4. We know, that x% equals 5.6 of the output value, so we can write it down as x%=5.6.
5. Now we have two simple equations:
1) 100%=66.85
2) x%=5.6
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%=66.85/5.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.6 is what percent of 66.85

100%/x%=66.85/5.6
(100/x)*x=(66.85/5.6)*x       - we multiply both sides of the equation by x
100=11.9375*x       - we divide both sides of the equation by (11.9375) to get x
100/11.9375=x
8.3769633507853=x
x=8.3769633507853

now we have:
5.6 is 8.3769633507853% of 66.85