2.16 is what percent of 2768.64 - 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 2768.64 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 2768.64, so we can write it down as 100%=2768.64.
4. We know, that x% equals 2.16 of the output value, so we can write it down as x%=2.16.
5. Now we have two simple equations:
1) 100%=2768.64
2) x%=2.16
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%=2768.64/2.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.16 is what percent of 2768.64

100%/x%=2768.64/2.16
(100/x)*x=(2768.64/2.16)*x       - we multiply both sides of the equation by x
100=1281.7777777778*x       - we divide both sides of the equation by (1281.7777777778) to get x
100/1281.7777777778=x
0.078016643550624=x
x=0.078016643550624

now we have:
2.16 is 0.078016643550624% of 2768.64