382.21 is what percent of 449.66 - 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 449.66 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 449.66, so we can write it down as 100%=449.66.
4. We know, that x% equals 382.21 of the output value, so we can write it down as x%=382.21.
5. Now we have two simple equations:
1) 100%=449.66
2) x%=382.21
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%=449.66/382.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 382.21 is what percent of 449.66

100%/x%=449.66/382.21
(100/x)*x=(449.66/382.21)*x       - we multiply both sides of the equation by x
100=1.1764736663091*x       - we divide both sides of the equation by (1.1764736663091) to get x
100/1.1764736663091=x
84.99977760975=x
x=84.99977760975

now we have:
382.21 is 84.99977760975% of 449.66