79.85 is what percent of 119.95 - 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 119.95 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 119.95, so we can write it down as 100%=119.95.
4. We know, that x% equals 79.85 of the output value, so we can write it down as x%=79.85.
5. Now we have two simple equations:
1) 100%=119.95
2) x%=79.85
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%=119.95/79.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 79.85 is what percent of 119.95

100%/x%=119.95/79.85
(100/x)*x=(119.95/79.85)*x       - we multiply both sides of the equation by x
100=1.5021916092674*x       - we divide both sides of the equation by (1.5021916092674) to get x
100/1.5021916092674=x
66.569403918299=x
x=66.569403918299

now we have:
79.85 is 66.569403918299% of 119.95