15.99 is what percent of 20.14 - 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 20.14 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 20.14, so we can write it down as 100%=20.14.
4. We know, that x% equals 15.99 of the output value, so we can write it down as x%=15.99.
5. Now we have two simple equations:
1) 100%=20.14
2) x%=15.99
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%=20.14/15.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.99 is what percent of 20.14

100%/x%=20.14/15.99
(100/x)*x=(20.14/15.99)*x       - we multiply both sides of the equation by x
100=1.2595372107567*x       - we divide both sides of the equation by (1.2595372107567) to get x
100/1.2595372107567=x
79.394240317776=x
x=79.394240317776

now we have:
15.99 is 79.394240317776% of 20.14