429.4 is what percent of 6552.4 - 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 6552.4 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 6552.4, so we can write it down as 100%=6552.4.
4. We know, that x% equals 429.4 of the output value, so we can write it down as x%=429.4.
5. Now we have two simple equations:
1) 100%=6552.4
2) x%=429.4
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%=6552.4/429.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 429.4 is what percent of 6552.4

100%/x%=6552.4/429.4
(100/x)*x=(6552.4/429.4)*x       - we multiply both sides of the equation by x
100=15.259431765254*x       - we divide both sides of the equation by (15.259431765254) to get x
100/15.259431765254=x
6.5533239728954=x
x=6.5533239728954

now we have:
429.4 is 6.5533239728954% of 6552.4