144.69 is what percent of 449.36 - 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 449.36 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 449.36, so we can write it down as 100%=449.36.
4. We know, that x% equals 144.69 of the output value, so we can write it down as x%=144.69.
5. Now we have two simple equations:
1) 100%=449.36
2) x%=144.69
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%=449.36/144.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 144.69 is what percent of 449.36

100%/x%=449.36/144.69
(100/x)*x=(449.36/144.69)*x       - we multiply both sides of the equation by x
100=3.1056742000138*x       - we divide both sides of the equation by (3.1056742000138) to get x
100/3.1056742000138=x
32.199127648211=x
x=32.199127648211

now we have:
144.69 is 32.199127648211% of 449.36