19 is what percent of 159.39 - 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 159.39 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 159.39, so we can write it down as 100%=159.39.
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%=159.39
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%=159.39/19
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 159.39

100%/x%=159.39/19
(100/x)*x=(159.39/19)*x       - we multiply both sides of the equation by x
100=8.3889473684211*x       - we divide both sides of the equation by (8.3889473684211) to get x
100/8.3889473684211=x
11.920446703055=x
x=11.920446703055

now we have:
19 is 11.920446703055% of 159.39