12.95 is what percent of 52.94 - 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 52.94 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 52.94, so we can write it down as 100%=52.94.
4. We know, that x% equals 12.95 of the output value, so we can write it down as x%=12.95.
5. Now we have two simple equations:
1) 100%=52.94
2) x%=12.95
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%=52.94/12.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.95 is what percent of 52.94

100%/x%=52.94/12.95
(100/x)*x=(52.94/12.95)*x       - we multiply both sides of the equation by x
100=4.0880308880309*x       - we divide both sides of the equation by (4.0880308880309) to get x
100/4.0880308880309=x
24.461654703438=x
x=24.461654703438

now we have:
12.95 is 24.461654703438% of 52.94