423.11 is what percent of 1328.49 - 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 1328.49 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 1328.49, so we can write it down as 100%=1328.49.
4. We know, that x% equals 423.11 of the output value, so we can write it down as x%=423.11.
5. Now we have two simple equations:
1) 100%=1328.49
2) x%=423.11
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%=1328.49/423.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 423.11 is what percent of 1328.49

100%/x%=1328.49/423.11
(100/x)*x=(1328.49/423.11)*x       - we multiply both sides of the equation by x
100=3.1398217957505*x       - we divide both sides of the equation by (3.1398217957505) to get x
100/3.1398217957505=x
31.848941279197=x
x=31.848941279197

now we have:
423.11 is 31.848941279197% of 1328.49