99.72 is what percent of 495.64 - 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 495.64 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 495.64, so we can write it down as 100%=495.64.
4. We know, that x% equals 99.72 of the output value, so we can write it down as x%=99.72.
5. Now we have two simple equations:
1) 100%=495.64
2) x%=99.72
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%=495.64/99.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99.72 is what percent of 495.64

100%/x%=495.64/99.72
(100/x)*x=(495.64/99.72)*x       - we multiply both sides of the equation by x
100=4.9703168872844*x       - we divide both sides of the equation by (4.9703168872844) to get x
100/4.9703168872844=x
20.119441530143=x
x=20.119441530143

now we have:
99.72 is 20.119441530143% of 495.64