434.65 is what percent of 6492.2 - 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 6492.2 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 6492.2, so we can write it down as 100%=6492.2.
4. We know, that x% equals 434.65 of the output value, so we can write it down as x%=434.65.
5. Now we have two simple equations:
1) 100%=6492.2
2) x%=434.65
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%=6492.2/434.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 434.65 is what percent of 6492.2

100%/x%=6492.2/434.65
(100/x)*x=(6492.2/434.65)*x       - we multiply both sides of the equation by x
100=14.936615667779*x       - we divide both sides of the equation by (14.936615667779) to get x
100/14.936615667779=x
6.6949570253535=x
x=6.6949570253535

now we have:
434.65 is 6.6949570253535% of 6492.2