14.25 is what percent of 684.22 - 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 684.22 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 684.22, so we can write it down as 100%=684.22.
4. We know, that x% equals 14.25 of the output value, so we can write it down as x%=14.25.
5. Now we have two simple equations:
1) 100%=684.22
2) x%=14.25
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%=684.22/14.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.25 is what percent of 684.22

100%/x%=684.22/14.25
(100/x)*x=(684.22/14.25)*x       - we multiply both sides of the equation by x
100=48.015438596491*x       - we divide both sides of the equation by (48.015438596491) to get x
100/48.015438596491=x
2.0826634708135=x
x=2.0826634708135

now we have:
14.25 is 2.0826634708135% of 684.22