1.16 is what percent of 1.38 - 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 1.38 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 1.38, so we can write it down as 100%=1.38.
4. We know, that x% equals 1.16 of the output value, so we can write it down as x%=1.16.
5. Now we have two simple equations:
1) 100%=1.38
2) x%=1.16
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%=1.38/1.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.16 is what percent of 1.38

100%/x%=1.38/1.16
(100/x)*x=(1.38/1.16)*x       - we multiply both sides of the equation by x
100=1.1896551724138*x       - we divide both sides of the equation by (1.1896551724138) to get x
100/1.1896551724138=x
84.057971014493=x
x=84.057971014493

now we have:
1.16 is 84.057971014493% of 1.38