1.42 is what percent of 12.08 - 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 12.08 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 12.08, so we can write it down as 100%=12.08.
4. We know, that x% equals 1.42 of the output value, so we can write it down as x%=1.42.
5. Now we have two simple equations:
1) 100%=12.08
2) x%=1.42
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%=12.08/1.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.42 is what percent of 12.08

100%/x%=12.08/1.42
(100/x)*x=(12.08/1.42)*x       - we multiply both sides of the equation by x
100=8.5070422535211*x       - we divide both sides of the equation by (8.5070422535211) to get x
100/8.5070422535211=x
11.754966887417=x
x=11.754966887417

now we have:
1.42 is 11.754966887417% of 12.08