42 is what percent of 1242 - 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 1242 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 1242, so we can write it down as 100%=1242.
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%=1242
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%=1242/42
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 1242

100%/x%=1242/42
(100/x)*x=(1242/42)*x       - we multiply both sides of the equation by x
100=29.571428571429*x       - we divide both sides of the equation by (29.571428571429) to get x
100/29.571428571429=x
3.3816425120773=x
x=3.3816425120773

now we have:
42 is 3.3816425120773% of 1242