19.78 is what percent of 131.85 - 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 131.85 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 131.85, so we can write it down as 100%=131.85.
4. We know, that x% equals 19.78 of the output value, so we can write it down as x%=19.78.
5. Now we have two simple equations:
1) 100%=131.85
2) x%=19.78
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%=131.85/19.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.78 is what percent of 131.85

100%/x%=131.85/19.78
(100/x)*x=(131.85/19.78)*x       - we multiply both sides of the equation by x
100=6.6658240647118*x       - we divide both sides of the equation by (6.6658240647118) to get x
100/6.6658240647118=x
15.001896094046=x
x=15.001896094046

now we have:
19.78 is 15.001896094046% of 131.85