20 is what percent of 415000 - 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 415000 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 415000, so we can write it down as 100%=415000.
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%=415000
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%=415000/20
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 415000

100%/x%=415000/20
(100/x)*x=(415000/20)*x       - we multiply both sides of the equation by x
100=20750*x       - we divide both sides of the equation by (20750) to get x
100/20750=x
0.0048192771084337=x
x=0.0048192771084337

now we have:
20 is 0.0048192771084337% of 415000