548.04 is what percent of 566.04 - 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 566.04 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 566.04, so we can write it down as 100%=566.04.
4. We know, that x% equals 548.04 of the output value, so we can write it down as x%=548.04.
5. Now we have two simple equations:
1) 100%=566.04
2) x%=548.04
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%=566.04/548.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 548.04 is what percent of 566.04

100%/x%=566.04/548.04
(100/x)*x=(566.04/548.04)*x       - we multiply both sides of the equation by x
100=1.032844317933*x       - we divide both sides of the equation by (1.032844317933) to get x
100/1.032844317933=x
96.820012719949=x
x=96.820012719949

now we have:
548.04 is 96.820012719949% of 566.04