469.97 is what percent of 1034.44 - 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 1034.44 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 1034.44, so we can write it down as 100%=1034.44.
4. We know, that x% equals 469.97 of the output value, so we can write it down as x%=469.97.
5. Now we have two simple equations:
1) 100%=1034.44
2) x%=469.97
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%=1034.44/469.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 469.97 is what percent of 1034.44

100%/x%=1034.44/469.97
(100/x)*x=(1034.44/469.97)*x       - we multiply both sides of the equation by x
100=2.2010766644679*x       - we divide both sides of the equation by (2.2010766644679) to get x
100/2.2010766644679=x
45.432311202196=x
x=45.432311202196

now we have:
469.97 is 45.432311202196% of 1034.44