What is 77.76 percent of 12.4 - 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 12.4 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 12.4 is 100%, so we can write it down as 12.4=100%.
4. We know, that x is 77.76% of the output value, so we can write it down as x=77.76%.
5. Now we have two simple equations:
1) 12.4=100%
2) x=77.76%
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:
12.4/x=100%/77.76%
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 77.76% of 12.4

12.4/x=100/77.76
(12.4/x)*x=(100/77.76)*x       - we multiply both sides of the equation by x
12.4=1.2860082304527*x       - we divide both sides of the equation by (1.2860082304527) to get x
12.4/1.2860082304527=x
9.64224=x
x=9.64224

now we have:
77.76% of 12.4=9.64224