449.82 is what percent of 2609.65 - 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 2609.65 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 2609.65, so we can write it down as 100%=2609.65.
4. We know, that x% equals 449.82 of the output value, so we can write it down as x%=449.82.
5. Now we have two simple equations:
1) 100%=2609.65
2) x%=449.82
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%=2609.65/449.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 449.82 is what percent of 2609.65

100%/x%=2609.65/449.82
(100/x)*x=(2609.65/449.82)*x       - we multiply both sides of the equation by x
100=5.801542839358*x       - we divide both sides of the equation by (5.801542839358) to get x
100/5.801542839358=x
17.23679420612=x
x=17.23679420612

now we have:
449.82 is 17.23679420612% of 2609.65