31.95 is what percent of 77.95 - 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 77.95 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 77.95, so we can write it down as 100%=77.95.
4. We know, that x% equals 31.95 of the output value, so we can write it down as x%=31.95.
5. Now we have two simple equations:
1) 100%=77.95
2) x%=31.95
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%=77.95/31.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.95 is what percent of 77.95

100%/x%=77.95/31.95
(100/x)*x=(77.95/31.95)*x       - we multiply both sides of the equation by x
100=2.4397496087637*x       - we divide both sides of the equation by (2.4397496087637) to get x
100/2.4397496087637=x
40.987812700449=x
x=40.987812700449

now we have:
31.95 is 40.987812700449% of 77.95