What is 6.49 percent of 449.63 - 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 449.63 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 449.63 is 100%, so we can write it down as 449.63=100%.
4. We know, that x is 6.49% of the output value, so we can write it down as x=6.49%.
5. Now we have two simple equations:
1) 449.63=100%
2) x=6.49%
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:
449.63/x=100%/6.49%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 6.49% of 449.63

449.63/x=100/6.49
(449.63/x)*x=(100/6.49)*x       - we multiply both sides of the equation by x
449.63=15.408320493066*x       - we divide both sides of the equation by (15.408320493066) to get x
449.63/15.408320493066=x
29.180987=x
x=29.180987

now we have:
6.49% of 449.63=29.180987