461.5 is what percent of 9000 - 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 9000 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 9000, so we can write it down as 100%=9000.
4. We know, that x% equals 461.5 of the output value, so we can write it down as x%=461.5.
5. Now we have two simple equations:
1) 100%=9000
2) x%=461.5
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%=9000/461.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 461.5 is what percent of 9000

100%/x%=9000/461.5
(100/x)*x=(9000/461.5)*x       - we multiply both sides of the equation by x
100=19.501625135428*x       - we divide both sides of the equation by (19.501625135428) to get x
100/19.501625135428=x
5.1277777777778=x
x=5.1277777777778

now we have:
461.5 is 5.1277777777778% of 9000