7.05 is what percent of 12.95 - 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 12.95 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 12.95, so we can write it down as 100%=12.95.
4. We know, that x% equals 7.05 of the output value, so we can write it down as x%=7.05.
5. Now we have two simple equations:
1) 100%=12.95
2) x%=7.05
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%=12.95/7.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.05 is what percent of 12.95

100%/x%=12.95/7.05
(100/x)*x=(12.95/7.05)*x       - we multiply both sides of the equation by x
100=1.8368794326241*x       - we divide both sides of the equation by (1.8368794326241) to get x
100/1.8368794326241=x
54.440154440154=x
x=54.440154440154

now we have:
7.05 is 54.440154440154% of 12.95