102.16 is what percent of 202.44 - 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 202.44 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 202.44, so we can write it down as 100%=202.44.
4. We know, that x% equals 102.16 of the output value, so we can write it down as x%=102.16.
5. Now we have two simple equations:
1) 100%=202.44
2) x%=102.16
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%=202.44/102.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.16 is what percent of 202.44

100%/x%=202.44/102.16
(100/x)*x=(202.44/102.16)*x       - we multiply both sides of the equation by x
100=1.9815974941269*x       - we divide both sides of the equation by (1.9815974941269) to get x
100/1.9815974941269=x
50.464335111638=x
x=50.464335111638

now we have:
102.16 is 50.464335111638% of 202.44