448.9 is what percent of 685 - 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 685 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 685, so we can write it down as 100%=685.
4. We know, that x% equals 448.9 of the output value, so we can write it down as x%=448.9.
5. Now we have two simple equations:
1) 100%=685
2) x%=448.9
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%=685/448.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 448.9 is what percent of 685

100%/x%=685/448.9
(100/x)*x=(685/448.9)*x       - we multiply both sides of the equation by x
100=1.5259523279127*x       - we divide both sides of the equation by (1.5259523279127) to get x
100/1.5259523279127=x
65.532846715328=x
x=65.532846715328

now we have:
448.9 is 65.532846715328% of 685