23.96 is what percent of 19.96 - 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 19.96 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 19.96, so we can write it down as 100%=19.96.
4. We know, that x% equals 23.96 of the output value, so we can write it down as x%=23.96.
5. Now we have two simple equations:
1) 100%=19.96
2) x%=23.96
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%=19.96/23.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.96 is what percent of 19.96

100%/x%=19.96/23.96
(100/x)*x=(19.96/23.96)*x       - we multiply both sides of the equation by x
100=0.8330550918197*x       - we divide both sides of the equation by (0.8330550918197) to get x
100/0.8330550918197=x
120.04008016032=x
x=120.04008016032

now we have:
23.96 is 120.04008016032% of 19.96