16.29 is what percent of 576.25 - 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 576.25 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 576.25, so we can write it down as 100%=576.25.
4. We know, that x% equals 16.29 of the output value, so we can write it down as x%=16.29.
5. Now we have two simple equations:
1) 100%=576.25
2) x%=16.29
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%=576.25/16.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.29 is what percent of 576.25

100%/x%=576.25/16.29
(100/x)*x=(576.25/16.29)*x       - we multiply both sides of the equation by x
100=35.374462860651*x       - we divide both sides of the equation by (35.374462860651) to get x
100/35.374462860651=x
2.8268980477223=x
x=2.8268980477223

now we have:
16.29 is 2.8268980477223% of 576.25