563.35 is what percent of 3968.65 - 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 3968.65 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 3968.65, so we can write it down as 100%=3968.65.
4. We know, that x% equals 563.35 of the output value, so we can write it down as x%=563.35.
5. Now we have two simple equations:
1) 100%=3968.65
2) x%=563.35
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%=3968.65/563.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 563.35 is what percent of 3968.65

100%/x%=3968.65/563.35
(100/x)*x=(3968.65/563.35)*x       - we multiply both sides of the equation by x
100=7.0447324043667*x       - we divide both sides of the equation by (7.0447324043667) to get x
100/7.0447324043667=x
14.195003338667=x
x=14.195003338667

now we have:
563.35 is 14.195003338667% of 3968.65