768.17 is what percent of 1216.04 - 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 1216.04 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 1216.04, so we can write it down as 100%=1216.04.
4. We know, that x% equals 768.17 of the output value, so we can write it down as x%=768.17.
5. Now we have two simple equations:
1) 100%=1216.04
2) x%=768.17
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%=1216.04/768.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 768.17 is what percent of 1216.04

100%/x%=1216.04/768.17
(100/x)*x=(1216.04/768.17)*x       - we multiply both sides of the equation by x
100=1.5830350052723*x       - we divide both sides of the equation by (1.5830350052723) to get x
100/1.5830350052723=x
63.16979704615=x
x=63.16979704615

now we have:
768.17 is 63.16979704615% of 1216.04