13.1 is what percent of 127 - 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 127 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 127, so we can write it down as 100%=127.
4. We know, that x% equals 13.1 of the output value, so we can write it down as x%=13.1.
5. Now we have two simple equations:
1) 100%=127
2) x%=13.1
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%=127/13.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.1 is what percent of 127

100%/x%=127/13.1
(100/x)*x=(127/13.1)*x       - we multiply both sides of the equation by x
100=9.6946564885496*x       - we divide both sides of the equation by (9.6946564885496) to get x
100/9.6946564885496=x
10.314960629921=x
x=10.314960629921

now we have:
13.1 is 10.314960629921% of 127