42 is what percent of 475000 - 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 475000 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 475000, so we can write it down as 100%=475000.
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%=475000
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%=475000/42
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 475000

100%/x%=475000/42
(100/x)*x=(475000/42)*x       - we multiply both sides of the equation by x
100=11309.523809524*x       - we divide both sides of the equation by (11309.523809524) to get x
100/11309.523809524=x
0.0088421052631579=x
x=0.0088421052631579

now we have:
42 is 0.0088421052631579% of 475000