165.5 is what percent of 449.5 - 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 449.5 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 449.5, so we can write it down as 100%=449.5.
4. We know, that x% equals 165.5 of the output value, so we can write it down as x%=165.5.
5. Now we have two simple equations:
1) 100%=449.5
2) x%=165.5
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%=449.5/165.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 165.5 is what percent of 449.5

100%/x%=449.5/165.5
(100/x)*x=(449.5/165.5)*x       - we multiply both sides of the equation by x
100=2.7160120845921*x       - we divide both sides of the equation by (2.7160120845921) to get x
100/2.7160120845921=x
36.818687430478=x
x=36.818687430478

now we have:
165.5 is 36.818687430478% of 449.5