12.56 is what percent of 61 - 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 61 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 61, so we can write it down as 100%=61.
4. We know, that x% equals 12.56 of the output value, so we can write it down as x%=12.56.
5. Now we have two simple equations:
1) 100%=61
2) x%=12.56
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%=61/12.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.56 is what percent of 61

100%/x%=61/12.56
(100/x)*x=(61/12.56)*x       - we multiply both sides of the equation by x
100=4.8566878980892*x       - we divide both sides of the equation by (4.8566878980892) to get x
100/4.8566878980892=x
20.590163934426=x
x=20.590163934426

now we have:
12.56 is 20.590163934426% of 61