449.89 is what percent of 4282.49 - 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 4282.49 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 4282.49, so we can write it down as 100%=4282.49.
4. We know, that x% equals 449.89 of the output value, so we can write it down as x%=449.89.
5. Now we have two simple equations:
1) 100%=4282.49
2) x%=449.89
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%=4282.49/449.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 449.89 is what percent of 4282.49

100%/x%=4282.49/449.89
(100/x)*x=(4282.49/449.89)*x       - we multiply both sides of the equation by x
100=9.5189713040966*x       - we divide both sides of the equation by (9.5189713040966) to get x
100/9.5189713040966=x
10.505336848422=x
x=10.505336848422

now we have:
449.89 is 10.505336848422% of 4282.49