What is 6.67 percent of 12.45 - 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 12.45 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 12.45 is 100%, so we can write it down as 12.45=100%.
4. We know, that x is 6.67% of the output value, so we can write it down as x=6.67%.
5. Now we have two simple equations:
1) 12.45=100%
2) x=6.67%
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:
12.45/x=100%/6.67%
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 6.67% of 12.45

12.45/x=100/6.67
(12.45/x)*x=(100/6.67)*x       - we multiply both sides of the equation by x
12.45=14.992503748126*x       - we divide both sides of the equation by (14.992503748126) to get x
12.45/14.992503748126=x
0.830415=x
x=0.830415

now we have:
6.67% of 12.45=0.830415