0.96 is what percent of 12849.08 - 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 12849.08 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 12849.08, so we can write it down as 100%=12849.08.
4. We know, that x% equals 0.96 of the output value, so we can write it down as x%=0.96.
5. Now we have two simple equations:
1) 100%=12849.08
2) x%=0.96
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%=12849.08/0.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.96 is what percent of 12849.08

100%/x%=12849.08/0.96
(100/x)*x=(12849.08/0.96)*x       - we multiply both sides of the equation by x
100=13384.458333333*x       - we divide both sides of the equation by (13384.458333333) to get x
100/13384.458333333=x
0.0074713520345426=x
x=0.0074713520345426

now we have:
0.96 is 0.0074713520345426% of 12849.08