11.98 is what percent of 41.97 - 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 41.97 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 41.97, so we can write it down as 100%=41.97.
4. We know, that x% equals 11.98 of the output value, so we can write it down as x%=11.98.
5. Now we have two simple equations:
1) 100%=41.97
2) x%=11.98
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%=41.97/11.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.98 is what percent of 41.97

100%/x%=41.97/11.98
(100/x)*x=(41.97/11.98)*x       - we multiply both sides of the equation by x
100=3.5033388981636*x       - we divide both sides of the equation by (3.5033388981636) to get x
100/3.5033388981636=x
28.544198236836=x
x=28.544198236836

now we have:
11.98 is 28.544198236836% of 41.97