70.26 is what percent of 12.5 - 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 12.5 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 12.5, so we can write it down as 100%=12.5.
4. We know, that x% equals 70.26 of the output value, so we can write it down as x%=70.26.
5. Now we have two simple equations:
1) 100%=12.5
2) x%=70.26
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%=12.5/70.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70.26 is what percent of 12.5

100%/x%=12.5/70.26
(100/x)*x=(12.5/70.26)*x       - we multiply both sides of the equation by x
100=0.17791061770566*x       - we divide both sides of the equation by (0.17791061770566) to get x
100/0.17791061770566=x
562.08=x
x=562.08

now we have:
70.26 is 562.08% of 12.5