462.9 is what percent of 11000 - 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 11000 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 11000, so we can write it down as 100%=11000.
4. We know, that x% equals 462.9 of the output value, so we can write it down as x%=462.9.
5. Now we have two simple equations:
1) 100%=11000
2) x%=462.9
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%=11000/462.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 462.9 is what percent of 11000

100%/x%=11000/462.9
(100/x)*x=(11000/462.9)*x       - we multiply both sides of the equation by x
100=23.763231799525*x       - we divide both sides of the equation by (23.763231799525) to get x
100/23.763231799525=x
4.2081818181818=x
x=4.2081818181818

now we have:
462.9 is 4.2081818181818% of 11000