258.16 is what percent of 575.56 - 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 575.56 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 575.56, so we can write it down as 100%=575.56.
4. We know, that x% equals 258.16 of the output value, so we can write it down as x%=258.16.
5. Now we have two simple equations:
1) 100%=575.56
2) x%=258.16
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%=575.56/258.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 258.16 is what percent of 575.56

100%/x%=575.56/258.16
(100/x)*x=(575.56/258.16)*x       - we multiply both sides of the equation by x
100=2.2294700960645*x       - we divide both sides of the equation by (2.2294700960645) to get x
100/2.2294700960645=x
44.853707693377=x
x=44.853707693377

now we have:
258.16 is 44.853707693377% of 575.56