426.4 is what percent of 3066.67 - 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 3066.67 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 3066.67, so we can write it down as 100%=3066.67.
4. We know, that x% equals 426.4 of the output value, so we can write it down as x%=426.4.
5. Now we have two simple equations:
1) 100%=3066.67
2) x%=426.4
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%=3066.67/426.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 426.4 is what percent of 3066.67

100%/x%=3066.67/426.4
(100/x)*x=(3066.67/426.4)*x       - we multiply both sides of the equation by x
100=7.1920028142589*x       - we divide both sides of the equation by (7.1920028142589) to get x
100/7.1920028142589=x
13.904332712682=x
x=13.904332712682

now we have:
426.4 is 13.904332712682% of 3066.67