266.32 is what percent of 904.42 - 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 904.42 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 904.42, so we can write it down as 100%=904.42.
4. We know, that x% equals 266.32 of the output value, so we can write it down as x%=266.32.
5. Now we have two simple equations:
1) 100%=904.42
2) x%=266.32
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%=904.42/266.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 266.32 is what percent of 904.42

100%/x%=904.42/266.32
(100/x)*x=(904.42/266.32)*x       - we multiply both sides of the equation by x
100=3.3959897867227*x       - we divide both sides of the equation by (3.3959897867227) to get x
100/3.3959897867227=x
29.446496096946=x
x=29.446496096946

now we have:
266.32 is 29.446496096946% of 904.42