1.38 is what percent of 69.37 - 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 69.37 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 69.37, so we can write it down as 100%=69.37.
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%=69.37
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%=69.37/1.38
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 69.37

100%/x%=69.37/1.38
(100/x)*x=(69.37/1.38)*x       - we multiply both sides of the equation by x
100=50.268115942029*x       - we divide both sides of the equation by (50.268115942029) to get x
100/50.268115942029=x
1.9893325645092=x
x=1.9893325645092

now we have:
1.38 is 1.9893325645092% of 69.37