266.25 is what percent of 41 - 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 41 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 41, so we can write it down as 100%=41.
4. We know, that x% equals 266.25 of the output value, so we can write it down as x%=266.25.
5. Now we have two simple equations:
1) 100%=41
2) x%=266.25
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%=41/266.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 266.25 is what percent of 41

100%/x%=41/266.25
(100/x)*x=(41/266.25)*x       - we multiply both sides of the equation by x
100=0.15399061032864*x       - we divide both sides of the equation by (0.15399061032864) to get x
100/0.15399061032864=x
649.39024390244=x
x=649.39024390244

now we have:
266.25 is 649.39024390244% of 41