19 is what percent of 37.71 - 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 37.71 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 37.71, so we can write it down as 100%=37.71.
4. We know, that x% equals 19 of the output value, so we can write it down as x%=19.
5. Now we have two simple equations:
1) 100%=37.71
2) x%=19
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%=37.71/19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19 is what percent of 37.71

100%/x%=37.71/19
(100/x)*x=(37.71/19)*x       - we multiply both sides of the equation by x
100=1.9847368421053*x       - we divide both sides of the equation by (1.9847368421053) to get x
100/1.9847368421053=x
50.384513391673=x
x=50.384513391673

now we have:
19 is 50.384513391673% of 37.71