84.25 is what percent of 12.25 - 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 12.25 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 12.25, so we can write it down as 100%=12.25.
4. We know, that x% equals 84.25 of the output value, so we can write it down as x%=84.25.
5. Now we have two simple equations:
1) 100%=12.25
2) x%=84.25
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%=12.25/84.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.25 is what percent of 12.25

100%/x%=12.25/84.25
(100/x)*x=(12.25/84.25)*x       - we multiply both sides of the equation by x
100=0.14540059347181*x       - we divide both sides of the equation by (0.14540059347181) to get x
100/0.14540059347181=x
687.75510204082=x
x=687.75510204082

now we have:
84.25 is 687.75510204082% of 12.25