37.7 is what percent of 190 - 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 190 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 190, so we can write it down as 100%=190.
4. We know, that x% equals 37.7 of the output value, so we can write it down as x%=37.7.
5. Now we have two simple equations:
1) 100%=190
2) x%=37.7
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%=190/37.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.7 is what percent of 190

100%/x%=190/37.7
(100/x)*x=(190/37.7)*x       - we multiply both sides of the equation by x
100=5.0397877984085*x       - we divide both sides of the equation by (5.0397877984085) to get x
100/5.0397877984085=x
19.842105263158=x
x=19.842105263158

now we have:
37.7 is 19.842105263158% of 190