266.38 is what percent of 5327.5 - 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 5327.5 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 5327.5, so we can write it down as 100%=5327.5.
4. We know, that x% equals 266.38 of the output value, so we can write it down as x%=266.38.
5. Now we have two simple equations:
1) 100%=5327.5
2) x%=266.38
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%=5327.5/266.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 266.38 is what percent of 5327.5

100%/x%=5327.5/266.38
(100/x)*x=(5327.5/266.38)*x       - we multiply both sides of the equation by x
100=19.999624596441*x       - we divide both sides of the equation by (19.999624596441) to get x
100/19.999624596441=x
5.0000938526513=x
x=5.0000938526513

now we have:
266.38 is 5.0000938526513% of 5327.5