433.1 is what percent of 7602.8 - 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 7602.8 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 7602.8, so we can write it down as 100%=7602.8.
4. We know, that x% equals 433.1 of the output value, so we can write it down as x%=433.1.
5. Now we have two simple equations:
1) 100%=7602.8
2) x%=433.1
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%=7602.8/433.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 433.1 is what percent of 7602.8

100%/x%=7602.8/433.1
(100/x)*x=(7602.8/433.1)*x       - we multiply both sides of the equation by x
100=17.554375432925*x       - we divide both sides of the equation by (17.554375432925) to get x
100/17.554375432925=x
5.6965854685116=x
x=5.6965854685116

now we have:
433.1 is 5.6965854685116% of 7602.8