423.2 is what percent of 2722 - 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 2722 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 2722, so we can write it down as 100%=2722.
4. We know, that x% equals 423.2 of the output value, so we can write it down as x%=423.2.
5. Now we have two simple equations:
1) 100%=2722
2) x%=423.2
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%=2722/423.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 423.2 is what percent of 2722

100%/x%=2722/423.2
(100/x)*x=(2722/423.2)*x       - we multiply both sides of the equation by x
100=6.4319470699433*x       - we divide both sides of the equation by (6.4319470699433) to get x
100/6.4319470699433=x
15.547391623806=x
x=15.547391623806

now we have:
423.2 is 15.547391623806% of 2722