72.45 is what percent of 449.95 - 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 449.95 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 449.95, so we can write it down as 100%=449.95.
4. We know, that x% equals 72.45 of the output value, so we can write it down as x%=72.45.
5. Now we have two simple equations:
1) 100%=449.95
2) x%=72.45
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%=449.95/72.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.45 is what percent of 449.95

100%/x%=449.95/72.45
(100/x)*x=(449.95/72.45)*x       - we multiply both sides of the equation by x
100=6.2104899930987*x       - we divide both sides of the equation by (6.2104899930987) to get x
100/6.2104899930987=x
16.101789087676=x
x=16.101789087676

now we have:
72.45 is 16.101789087676% of 449.95