42 is what percent of 418 - 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 418 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 418, so we can write it down as 100%=418.
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%=418
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%=418/42
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 418

100%/x%=418/42
(100/x)*x=(418/42)*x       - we multiply both sides of the equation by x
100=9.952380952381*x       - we divide both sides of the equation by (9.952380952381) to get x
100/9.952380952381=x
10.047846889952=x
x=10.047846889952

now we have:
42 is 10.047846889952% of 418