16.12 is what percent of 537.18 - 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 537.18 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 537.18, so we can write it down as 100%=537.18.
4. We know, that x% equals 16.12 of the output value, so we can write it down as x%=16.12.
5. Now we have two simple equations:
1) 100%=537.18
2) x%=16.12
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%=537.18/16.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.12 is what percent of 537.18

100%/x%=537.18/16.12
(100/x)*x=(537.18/16.12)*x       - we multiply both sides of the equation by x
100=33.32382133995*x       - we divide both sides of the equation by (33.32382133995) to get x
100/33.32382133995=x
3.0008563237648=x
x=3.0008563237648

now we have:
16.12 is 3.0008563237648% of 537.18