84.23 is what percent of 449.77 - 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 449.77 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 449.77, so we can write it down as 100%=449.77.
4. We know, that x% equals 84.23 of the output value, so we can write it down as x%=84.23.
5. Now we have two simple equations:
1) 100%=449.77
2) x%=84.23
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%=449.77/84.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.23 is what percent of 449.77

100%/x%=449.77/84.23
(100/x)*x=(449.77/84.23)*x       - we multiply both sides of the equation by x
100=5.3397839249674*x       - we divide both sides of the equation by (5.3397839249674) to get x
100/5.3397839249674=x
18.727349534206=x
x=18.727349534206

now we have:
84.23 is 18.727349534206% of 449.77