429.5 is what percent of 168480 - 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 168480 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 168480, so we can write it down as 100%=168480.
4. We know, that x% equals 429.5 of the output value, so we can write it down as x%=429.5.
5. Now we have two simple equations:
1) 100%=168480
2) x%=429.5
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%=168480/429.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 429.5 is what percent of 168480

100%/x%=168480/429.5
(100/x)*x=(168480/429.5)*x       - we multiply both sides of the equation by x
100=392.2700814901*x       - we divide both sides of the equation by (392.2700814901) to get x
100/392.2700814901=x
0.25492640075973=x
x=0.25492640075973

now we have:
429.5 is 0.25492640075973% of 168480