19.41 is what percent of 149.21 - 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 149.21 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 149.21, so we can write it down as 100%=149.21.
4. We know, that x% equals 19.41 of the output value, so we can write it down as x%=19.41.
5. Now we have two simple equations:
1) 100%=149.21
2) x%=19.41
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%=149.21/19.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.41 is what percent of 149.21

100%/x%=149.21/19.41
(100/x)*x=(149.21/19.41)*x       - we multiply both sides of the equation by x
100=7.6872746007213*x       - we divide both sides of the equation by (7.6872746007213) to get x
100/7.6872746007213=x
13.008511493868=x
x=13.008511493868

now we have:
19.41 is 13.008511493868% of 149.21