79.9 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 79.9 of the output value, so we can write it down as x%=79.9.
5. Now we have two simple equations:
1) 100%=119.95
2) x%=79.9
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%=119.95/79.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 79.9 is what percent of 119.95

100%/x%=119.95/79.9
(100/x)*x=(119.95/79.9)*x       - we multiply both sides of the equation by x
100=1.5012515644556*x       - we divide both sides of the equation by (1.5012515644556) to get x
100/1.5012515644556=x
66.611087953314=x
x=66.611087953314

now we have:
79.9 is 66.611087953314% of 119.95