20 is what percent of 463000 - 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 463000 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 463000, so we can write it down as 100%=463000.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=463000
2) x%=20
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%=463000/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 463000

100%/x%=463000/20
(100/x)*x=(463000/20)*x       - we multiply both sides of the equation by x
100=23150*x       - we divide both sides of the equation by (23150) to get x
100/23150=x
0.0043196544276458=x
x=0.0043196544276458

now we have:
20 is 0.0043196544276458% of 463000