322.62 is what percent of 1100.41 - 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 1100.41 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 1100.41, so we can write it down as 100%=1100.41.
4. We know, that x% equals 322.62 of the output value, so we can write it down as x%=322.62.
5. Now we have two simple equations:
1) 100%=1100.41
2) x%=322.62
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%=1100.41/322.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 322.62 is what percent of 1100.41

100%/x%=1100.41/322.62
(100/x)*x=(1100.41/322.62)*x       - we multiply both sides of the equation by x
100=3.4108548757052*x       - we divide both sides of the equation by (3.4108548757052) to get x
100/3.4108548757052=x
29.318163230069=x
x=29.318163230069

now we have:
322.62 is 29.318163230069% of 1100.41