259.26 is what percent of 1071.68 - 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 1071.68 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 1071.68, so we can write it down as 100%=1071.68.
4. We know, that x% equals 259.26 of the output value, so we can write it down as x%=259.26.
5. Now we have two simple equations:
1) 100%=1071.68
2) x%=259.26
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%=1071.68/259.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 259.26 is what percent of 1071.68

100%/x%=1071.68/259.26
(100/x)*x=(1071.68/259.26)*x       - we multiply both sides of the equation by x
100=4.1336110468256*x       - we divide both sides of the equation by (4.1336110468256) to get x
100/4.1336110468256=x
24.191922962078=x
x=24.191922962078

now we have:
259.26 is 24.191922962078% of 1071.68