438.08 is what percent of 2576.92 - 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 2576.92 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 2576.92, so we can write it down as 100%=2576.92.
4. We know, that x% equals 438.08 of the output value, so we can write it down as x%=438.08.
5. Now we have two simple equations:
1) 100%=2576.92
2) x%=438.08
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%=2576.92/438.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 438.08 is what percent of 2576.92

100%/x%=2576.92/438.08
(100/x)*x=(2576.92/438.08)*x       - we multiply both sides of the equation by x
100=5.8823046018992*x       - we divide both sides of the equation by (5.8823046018992) to get x
100/5.8823046018992=x
17.000139701659=x
x=17.000139701659

now we have:
438.08 is 17.000139701659% of 2576.92