42 is what percent of 3300 - 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 3300 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 3300, so we can write it down as 100%=3300.
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%=3300
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%=3300/42
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 3300

100%/x%=3300/42
(100/x)*x=(3300/42)*x       - we multiply both sides of the equation by x
100=78.571428571429*x       - we divide both sides of the equation by (78.571428571429) to get x
100/78.571428571429=x
1.2727272727273=x
x=1.2727272727273

now we have:
42 is 1.2727272727273% of 3300