429.46 is what percent of 6926.97 - 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 6926.97 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 6926.97, so we can write it down as 100%=6926.97.
4. We know, that x% equals 429.46 of the output value, so we can write it down as x%=429.46.
5. Now we have two simple equations:
1) 100%=6926.97
2) x%=429.46
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%=6926.97/429.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 429.46 is what percent of 6926.97

100%/x%=6926.97/429.46
(100/x)*x=(6926.97/429.46)*x       - we multiply both sides of the equation by x
100=16.129488194477*x       - we divide both sides of the equation by (16.129488194477) to get x
100/16.129488194477=x
6.1998247429973=x
x=6.1998247429973

now we have:
429.46 is 6.1998247429973% of 6926.97