20.7 is what percent of 12.7 - 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 12.7 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 12.7, so we can write it down as 100%=12.7.
4. We know, that x% equals 20.7 of the output value, so we can write it down as x%=20.7.
5. Now we have two simple equations:
1) 100%=12.7
2) x%=20.7
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%=12.7/20.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.7 is what percent of 12.7

100%/x%=12.7/20.7
(100/x)*x=(12.7/20.7)*x       - we multiply both sides of the equation by x
100=0.61352657004831*x       - we divide both sides of the equation by (0.61352657004831) to get x
100/0.61352657004831=x
162.99212598425=x
x=162.99212598425

now we have:
20.7 is 162.99212598425% of 12.7