448.77 is what percent of 4.25 - 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 4.25 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 4.25, so we can write it down as 100%=4.25.
4. We know, that x% equals 448.77 of the output value, so we can write it down as x%=448.77.
5. Now we have two simple equations:
1) 100%=4.25
2) x%=448.77
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%=4.25/448.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 448.77 is what percent of 4.25

100%/x%=4.25/448.77
(100/x)*x=(4.25/448.77)*x       - we multiply both sides of the equation by x
100=0.009470330013147*x       - we divide both sides of the equation by (0.009470330013147) to get x
100/0.009470330013147=x
10559.294117647=x
x=10559.294117647

now we have:
448.77 is 10559.294117647% of 4.25