427.5 is what percent of 449 - 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 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, so we can write it down as 100%=449.
4. We know, that x% equals 427.5 of the output value, so we can write it down as x%=427.5.
5. Now we have two simple equations:
1) 100%=449
2) x%=427.5
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%=449/427.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 427.5 is what percent of 449

100%/x%=449/427.5
(100/x)*x=(449/427.5)*x       - we multiply both sides of the equation by x
100=1.0502923976608*x       - we divide both sides of the equation by (1.0502923976608) to get x
100/1.0502923976608=x
95.211581291759=x
x=95.211581291759

now we have:
427.5 is 95.211581291759% of 449