469.8 is what percent of 3296 - 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 3296 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 3296, so we can write it down as 100%=3296.
4. We know, that x% equals 469.8 of the output value, so we can write it down as x%=469.8.
5. Now we have two simple equations:
1) 100%=3296
2) x%=469.8
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%=3296/469.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 469.8 is what percent of 3296

100%/x%=3296/469.8
(100/x)*x=(3296/469.8)*x       - we multiply both sides of the equation by x
100=7.0157513835675*x       - we divide both sides of the equation by (7.0157513835675) to get x
100/7.0157513835675=x
14.253640776699=x
x=14.253640776699

now we have:
469.8 is 14.253640776699% of 3296