271.26 is what percent of 250 - 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 250 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 250, so we can write it down as 100%=250.
4. We know, that x% equals 271.26 of the output value, so we can write it down as x%=271.26.
5. Now we have two simple equations:
1) 100%=250
2) x%=271.26
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%=250/271.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 271.26 is what percent of 250

100%/x%=250/271.26
(100/x)*x=(250/271.26)*x       - we multiply both sides of the equation by x
100=0.92162500921625*x       - we divide both sides of the equation by (0.92162500921625) to get x
100/0.92162500921625=x
108.504=x
x=108.504

now we have:
271.26 is 108.504% of 250