2.99 is what percent of 12.97 - 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 12.97 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 12.97, so we can write it down as 100%=12.97.
4. We know, that x% equals 2.99 of the output value, so we can write it down as x%=2.99.
5. Now we have two simple equations:
1) 100%=12.97
2) x%=2.99
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%=12.97/2.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.99 is what percent of 12.97

100%/x%=12.97/2.99
(100/x)*x=(12.97/2.99)*x       - we multiply both sides of the equation by x
100=4.3377926421405*x       - we divide both sides of the equation by (4.3377926421405) to get x
100/4.3377926421405=x
23.053199691596=x
x=23.053199691596

now we have:
2.99 is 23.053199691596% of 12.97