12.12 is what percent of 82.5 - 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 82.5 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 82.5, so we can write it down as 100%=82.5.
4. We know, that x% equals 12.12 of the output value, so we can write it down as x%=12.12.
5. Now we have two simple equations:
1) 100%=82.5
2) x%=12.12
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%=82.5/12.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.12 is what percent of 82.5

100%/x%=82.5/12.12
(100/x)*x=(82.5/12.12)*x       - we multiply both sides of the equation by x
100=6.8069306930693*x       - we divide both sides of the equation by (6.8069306930693) to get x
100/6.8069306930693=x
14.690909090909=x
x=14.690909090909

now we have:
12.12 is 14.690909090909% of 82.5