13.64 is what percent of 126.06 - 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 126.06 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 126.06, so we can write it down as 100%=126.06.
4. We know, that x% equals 13.64 of the output value, so we can write it down as x%=13.64.
5. Now we have two simple equations:
1) 100%=126.06
2) x%=13.64
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%=126.06/13.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.64 is what percent of 126.06

100%/x%=126.06/13.64
(100/x)*x=(126.06/13.64)*x       - we multiply both sides of the equation by x
100=9.241935483871*x       - we divide both sides of the equation by (9.241935483871) to get x
100/9.241935483871=x
10.820244328098=x
x=10.820244328098

now we have:
13.64 is 10.820244328098% of 126.06