0.42 is what percent of 3.374 - 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 3.374 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 3.374, so we can write it down as 100%=3.374.
4. We know, that x% equals 0.42 of the output value, so we can write it down as x%=0.42.
5. Now we have two simple equations:
1) 100%=3.374
2) x%=0.42
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%=3.374/0.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.42 is what percent of 3.374

100%/x%=3.374/0.42
(100/x)*x=(3.374/0.42)*x       - we multiply both sides of the equation by x
100=8.0333333333333*x       - we divide both sides of the equation by (8.0333333333333) to get x
100/8.0333333333333=x
12.448132780083=x
x=12.448132780083

now we have:
0.42 is 12.448132780083% of 3.374