16.35 is what percent of 30.82 - 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 30.82 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 30.82, so we can write it down as 100%=30.82.
4. We know, that x% equals 16.35 of the output value, so we can write it down as x%=16.35.
5. Now we have two simple equations:
1) 100%=30.82
2) x%=16.35
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%=30.82/16.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.35 is what percent of 30.82

100%/x%=30.82/16.35
(100/x)*x=(30.82/16.35)*x       - we multiply both sides of the equation by x
100=1.8850152905199*x       - we divide both sides of the equation by (1.8850152905199) to get x
100/1.8850152905199=x
53.049967553537=x
x=53.049967553537

now we have:
16.35 is 53.049967553537% of 30.82