216.78 is what percent of 728.84 - 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 728.84 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 728.84, so we can write it down as 100%=728.84.
4. We know, that x% equals 216.78 of the output value, so we can write it down as x%=216.78.
5. Now we have two simple equations:
1) 100%=728.84
2) x%=216.78
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%=728.84/216.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 216.78 is what percent of 728.84

100%/x%=728.84/216.78
(100/x)*x=(728.84/216.78)*x       - we multiply both sides of the equation by x
100=3.3621182765938*x       - we divide both sides of the equation by (3.3621182765938) to get x
100/3.3621182765938=x
29.743153504198=x
x=29.743153504198

now we have:
216.78 is 29.743153504198% of 728.84