7 is what percent of 31.95 - 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 31.95 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 31.95, so we can write it down as 100%=31.95.
4. We know, that x% equals 7 of the output value, so we can write it down as x%=7.
5. Now we have two simple equations:
1) 100%=31.95
2) x%=7
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%=31.95/7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7 is what percent of 31.95

100%/x%=31.95/7
(100/x)*x=(31.95/7)*x       - we multiply both sides of the equation by x
100=4.5642857142857*x       - we divide both sides of the equation by (4.5642857142857) to get x
100/4.5642857142857=x
21.909233176839=x
x=21.909233176839

now we have:
7 is 21.909233176839% of 31.95