1.38 is what percent of 13.75 - 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 13.75 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 13.75, so we can write it down as 100%=13.75.
4. We know, that x% equals 1.38 of the output value, so we can write it down as x%=1.38.
5. Now we have two simple equations:
1) 100%=13.75
2) x%=1.38
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%=13.75/1.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.38 is what percent of 13.75

100%/x%=13.75/1.38
(100/x)*x=(13.75/1.38)*x       - we multiply both sides of the equation by x
100=9.963768115942*x       - we divide both sides of the equation by (9.963768115942) to get x
100/9.963768115942=x
10.036363636364=x
x=10.036363636364

now we have:
1.38 is 10.036363636364% of 13.75