63.96 is what percent of 245.16 - 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 245.16 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 245.16, so we can write it down as 100%=245.16.
4. We know, that x% equals 63.96 of the output value, so we can write it down as x%=63.96.
5. Now we have two simple equations:
1) 100%=245.16
2) x%=63.96
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%=245.16/63.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.96 is what percent of 245.16

100%/x%=245.16/63.96
(100/x)*x=(245.16/63.96)*x       - we multiply both sides of the equation by x
100=3.8330206378987*x       - we divide both sides of the equation by (3.8330206378987) to get x
100/3.8330206378987=x
26.089084679393=x
x=26.089084679393

now we have:
63.96 is 26.089084679393% of 245.16