What is 7.64 percent of 12.34 - 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 12.34 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 12.34 is 100%, so we can write it down as 12.34=100%.
4. We know, that x is 7.64% of the output value, so we can write it down as x=7.64%.
5. Now we have two simple equations:
1) 12.34=100%
2) x=7.64%
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:
12.34/x=100%/7.64%
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 7.64% of 12.34

12.34/x=100/7.64
(12.34/x)*x=(100/7.64)*x       - we multiply both sides of the equation by x
12.34=13.089005235602*x       - we divide both sides of the equation by (13.089005235602) to get x
12.34/13.089005235602=x
0.942776=x
x=0.942776

now we have:
7.64% of 12.34=0.942776