79.95 is what percent of 137.8 - 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 137.8 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 137.8, so we can write it down as 100%=137.8.
4. We know, that x% equals 79.95 of the output value, so we can write it down as x%=79.95.
5. Now we have two simple equations:
1) 100%=137.8
2) x%=79.95
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%=137.8/79.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 79.95 is what percent of 137.8

100%/x%=137.8/79.95
(100/x)*x=(137.8/79.95)*x       - we multiply both sides of the equation by x
100=1.7235772357724*x       - we divide both sides of the equation by (1.7235772357724) to get x
100/1.7235772357724=x
58.018867924528=x
x=58.018867924528

now we have:
79.95 is 58.018867924528% of 137.8