What is 92.4 percent of 12.35 - 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 12.35 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 12.35 is 100%, so we can write it down as 12.35=100%.
4. We know, that x is 92.4% of the output value, so we can write it down as x=92.4%.
5. Now we have two simple equations:
1) 12.35=100%
2) x=92.4%
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:
12.35/x=100%/92.4%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 92.4% of 12.35

12.35/x=100/92.4
(12.35/x)*x=(100/92.4)*x       - we multiply both sides of the equation by x
12.35=1.0822510822511*x       - we divide both sides of the equation by (1.0822510822511) to get x
12.35/1.0822510822511=x
11.4114=x
x=11.4114

now we have:
92.4% of 12.35=11.4114