42 is what percent of 205000 - 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 205000 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 205000, so we can write it down as 100%=205000.
4. We know, that x% equals 42 of the output value, so we can write it down as x%=42.
5. Now we have two simple equations:
1) 100%=205000
2) x%=42
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%=205000/42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42 is what percent of 205000

100%/x%=205000/42
(100/x)*x=(205000/42)*x       - we multiply both sides of the equation by x
100=4880.9523809524*x       - we divide both sides of the equation by (4880.9523809524) to get x
100/4880.9523809524=x
0.020487804878049=x
x=0.020487804878049

now we have:
42 is 0.020487804878049% of 205000