84.28 is what percent of 1425.9 - 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 1425.9 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 1425.9, so we can write it down as 100%=1425.9.
4. We know, that x% equals 84.28 of the output value, so we can write it down as x%=84.28.
5. Now we have two simple equations:
1) 100%=1425.9
2) x%=84.28
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%=1425.9/84.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.28 is what percent of 1425.9

100%/x%=1425.9/84.28
(100/x)*x=(1425.9/84.28)*x       - we multiply both sides of the equation by x
100=16.918604651163*x       - we divide both sides of the equation by (16.918604651163) to get x
100/16.918604651163=x
5.9106529209622=x
x=5.9106529209622

now we have:
84.28 is 5.9106529209622% of 1425.9