316.36 is what percent of 3465.44 - 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 3465.44 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 3465.44, so we can write it down as 100%=3465.44.
4. We know, that x% equals 316.36 of the output value, so we can write it down as x%=316.36.
5. Now we have two simple equations:
1) 100%=3465.44
2) x%=316.36
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%=3465.44/316.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 316.36 is what percent of 3465.44

100%/x%=3465.44/316.36
(100/x)*x=(3465.44/316.36)*x       - we multiply both sides of the equation by x
100=10.954102920723*x       - we divide both sides of the equation by (10.954102920723) to get x
100/10.954102920723=x
9.128999492128=x
x=9.128999492128

now we have:
316.36 is 9.128999492128% of 3465.44