79.85 is what percent of 120.17 - 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 120.17 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 120.17, so we can write it down as 100%=120.17.
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%=120.17
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%=120.17/79.85
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 120.17

100%/x%=120.17/79.85
(100/x)*x=(120.17/79.85)*x       - we multiply both sides of the equation by x
100=1.5049467752035*x       - we divide both sides of the equation by (1.5049467752035) to get x
100/1.5049467752035=x
66.447532662062=x
x=66.447532662062

now we have:
79.85 is 66.447532662062% of 120.17