603.7 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 603.7 of the output value, so we can write it down as x%=603.7.
5. Now we have two simple equations:
1) 100%=1.38
2) x%=603.7
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%=1.38/603.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 603.7 is what percent of 1.38

100%/x%=1.38/603.7
(100/x)*x=(1.38/603.7)*x       - we multiply both sides of the equation by x
100=0.0022859035945006*x       - we divide both sides of the equation by (0.0022859035945006) to get x
100/0.0022859035945006=x
43746.376811594=x
x=43746.376811594

now we have:
603.7 is 43746.376811594% of 1.38