19.95 is what percent of 30.31 - 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 30.31 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 30.31, so we can write it down as 100%=30.31.
4. We know, that x% equals 19.95 of the output value, so we can write it down as x%=19.95.
5. Now we have two simple equations:
1) 100%=30.31
2) x%=19.95
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%=30.31/19.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.95 is what percent of 30.31

100%/x%=30.31/19.95
(100/x)*x=(30.31/19.95)*x       - we multiply both sides of the equation by x
100=1.519298245614*x       - we divide both sides of the equation by (1.519298245614) to get x
100/1.519298245614=x
65.819861431871=x
x=65.819861431871

now we have:
19.95 is 65.819861431871% of 30.31