466.25 is what percent of 1000 - 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 1000 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 1000, so we can write it down as 100%=1000.
4. We know, that x% equals 466.25 of the output value, so we can write it down as x%=466.25.
5. Now we have two simple equations:
1) 100%=1000
2) x%=466.25
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%=1000/466.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 466.25 is what percent of 1000

100%/x%=1000/466.25
(100/x)*x=(1000/466.25)*x       - we multiply both sides of the equation by x
100=2.1447721179625*x       - we divide both sides of the equation by (2.1447721179625) to get x
100/2.1447721179625=x
46.625=x
x=46.625

now we have:
466.25 is 46.625% of 1000