549.99 is what percent of 567.13 - 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 567.13 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 567.13, so we can write it down as 100%=567.13.
4. We know, that x% equals 549.99 of the output value, so we can write it down as x%=549.99.
5. Now we have two simple equations:
1) 100%=567.13
2) x%=549.99
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%=567.13/549.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 549.99 is what percent of 567.13

100%/x%=567.13/549.99
(100/x)*x=(567.13/549.99)*x       - we multiply both sides of the equation by x
100=1.0311642029855*x       - we divide both sides of the equation by (1.0311642029855) to get x
100/1.0311642029855=x
96.97776523901=x
x=96.97776523901

now we have:
549.99 is 96.97776523901% of 567.13