3.12 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 3.12 of the output value, so we can write it down as x%=3.12.
5. Now we have two simple equations:
1) 100%=20.14
2) x%=3.12
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%=20.14/3.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.12 is what percent of 20.14

100%/x%=20.14/3.12
(100/x)*x=(20.14/3.12)*x       - we multiply both sides of the equation by x
100=6.4551282051282*x       - we divide both sides of the equation by (6.4551282051282) to get x
100/6.4551282051282=x
15.491559086395=x
x=15.491559086395

now we have:
3.12 is 15.491559086395% of 20.14