66.65 is what percent of 77.42 - 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 77.42 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 77.42, so we can write it down as 100%=77.42.
4. We know, that x% equals 66.65 of the output value, so we can write it down as x%=66.65.
5. Now we have two simple equations:
1) 100%=77.42
2) x%=66.65
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%=77.42/66.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.65 is what percent of 77.42

100%/x%=77.42/66.65
(100/x)*x=(77.42/66.65)*x       - we multiply both sides of the equation by x
100=1.1615903975994*x       - we divide both sides of the equation by (1.1615903975994) to get x
100/1.1615903975994=x
86.088865926117=x
x=86.088865926117

now we have:
66.65 is 86.088865926117% of 77.42