424.4 is what percent of 2672 - 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 2672 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 2672, so we can write it down as 100%=2672.
4. We know, that x% equals 424.4 of the output value, so we can write it down as x%=424.4.
5. Now we have two simple equations:
1) 100%=2672
2) x%=424.4
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%=2672/424.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 424.4 is what percent of 2672

100%/x%=2672/424.4
(100/x)*x=(2672/424.4)*x       - we multiply both sides of the equation by x
100=6.2959472196041*x       - we divide both sides of the equation by (6.2959472196041) to get x
100/6.2959472196041=x
15.883233532934=x
x=15.883233532934

now we have:
424.4 is 15.883233532934% of 2672