138.4 is what percent of 370 - 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 370 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 370, so we can write it down as 100%=370.
4. We know, that x% equals 138.4 of the output value, so we can write it down as x%=138.4.
5. Now we have two simple equations:
1) 100%=370
2) x%=138.4
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%=370/138.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 138.4 is what percent of 370

100%/x%=370/138.4
(100/x)*x=(370/138.4)*x       - we multiply both sides of the equation by x
100=2.6734104046243*x       - we divide both sides of the equation by (2.6734104046243) to get x
100/2.6734104046243=x
37.405405405405=x
x=37.405405405405

now we have:
138.4 is 37.405405405405% of 370