15.95 is what percent of 32.95 - 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 32.95 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 32.95, so we can write it down as 100%=32.95.
4. We know, that x% equals 15.95 of the output value, so we can write it down as x%=15.95.
5. Now we have two simple equations:
1) 100%=32.95
2) x%=15.95
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%=32.95/15.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.95 is what percent of 32.95

100%/x%=32.95/15.95
(100/x)*x=(32.95/15.95)*x       - we multiply both sides of the equation by x
100=2.0658307210031*x       - we divide both sides of the equation by (2.0658307210031) to get x
100/2.0658307210031=x
48.406676783005=x
x=48.406676783005

now we have:
15.95 is 48.406676783005% of 32.95