20.46 is what percent of 30000 - 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 30000 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 30000, so we can write it down as 100%=30000.
4. We know, that x% equals 20.46 of the output value, so we can write it down as x%=20.46.
5. Now we have two simple equations:
1) 100%=30000
2) x%=20.46
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%=30000/20.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.46 is what percent of 30000

100%/x%=30000/20.46
(100/x)*x=(30000/20.46)*x       - we multiply both sides of the equation by x
100=1466.275659824*x       - we divide both sides of the equation by (1466.275659824) to get x
100/1466.275659824=x
0.0682=x
x=0.0682

now we have:
20.46 is 0.0682% of 30000