465.75 is what percent of 1424.25 - 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 1424.25 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 1424.25, so we can write it down as 100%=1424.25.
4. We know, that x% equals 465.75 of the output value, so we can write it down as x%=465.75.
5. Now we have two simple equations:
1) 100%=1424.25
2) x%=465.75
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%=1424.25/465.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 465.75 is what percent of 1424.25

100%/x%=1424.25/465.75
(100/x)*x=(1424.25/465.75)*x       - we multiply both sides of the equation by x
100=3.0579710144928*x       - we divide both sides of the equation by (3.0579710144928) to get x
100/3.0579710144928=x
32.701421800948=x
x=32.701421800948

now we have:
465.75 is 32.701421800948% of 1424.25