244.26 is what percent of 258.75 - 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 258.75 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 258.75, so we can write it down as 100%=258.75.
4. We know, that x% equals 244.26 of the output value, so we can write it down as x%=244.26.
5. Now we have two simple equations:
1) 100%=258.75
2) x%=244.26
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%=258.75/244.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 244.26 is what percent of 258.75

100%/x%=258.75/244.26
(100/x)*x=(258.75/244.26)*x       - we multiply both sides of the equation by x
100=1.0593220338983*x       - we divide both sides of the equation by (1.0593220338983) to get x
100/1.0593220338983=x
94.4=x
x=94.4

now we have:
244.26 is 94.4% of 258.75