12.41 is what percent of 145.92 - 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 145.92 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 145.92, so we can write it down as 100%=145.92.
4. We know, that x% equals 12.41 of the output value, so we can write it down as x%=12.41.
5. Now we have two simple equations:
1) 100%=145.92
2) x%=12.41
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%=145.92/12.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.41 is what percent of 145.92

100%/x%=145.92/12.41
(100/x)*x=(145.92/12.41)*x       - we multiply both sides of the equation by x
100=11.758259468171*x       - we divide both sides of the equation by (11.758259468171) to get x
100/11.758259468171=x
8.5046600877193=x
x=8.5046600877193

now we have:
12.41 is 8.5046600877193% of 145.92