16.95 is what percent of 584.28 - 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 584.28 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 584.28, so we can write it down as 100%=584.28.
4. We know, that x% equals 16.95 of the output value, so we can write it down as x%=16.95.
5. Now we have two simple equations:
1) 100%=584.28
2) x%=16.95
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%=584.28/16.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.95 is what percent of 584.28

100%/x%=584.28/16.95
(100/x)*x=(584.28/16.95)*x       - we multiply both sides of the equation by x
100=34.470796460177*x       - we divide both sides of the equation by (34.470796460177) to get x
100/34.470796460177=x
2.9010063668104=x
x=2.9010063668104

now we have:
16.95 is 2.9010063668104% of 584.28