431.06 is what percent of 6790.28 - 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 6790.28 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 6790.28, so we can write it down as 100%=6790.28.
4. We know, that x% equals 431.06 of the output value, so we can write it down as x%=431.06.
5. Now we have two simple equations:
1) 100%=6790.28
2) x%=431.06
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%=6790.28/431.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 431.06 is what percent of 6790.28

100%/x%=6790.28/431.06
(100/x)*x=(6790.28/431.06)*x       - we multiply both sides of the equation by x
100=15.752517050991*x       - we divide both sides of the equation by (15.752517050991) to get x
100/15.752517050991=x
6.3481918271411=x
x=6.3481918271411

now we have:
431.06 is 6.3481918271411% of 6790.28