2.97 is what percent of 13.92 - 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 13.92 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 13.92, so we can write it down as 100%=13.92.
4. We know, that x% equals 2.97 of the output value, so we can write it down as x%=2.97.
5. Now we have two simple equations:
1) 100%=13.92
2) x%=2.97
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%=13.92/2.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.97 is what percent of 13.92

100%/x%=13.92/2.97
(100/x)*x=(13.92/2.97)*x       - we multiply both sides of the equation by x
100=4.6868686868687*x       - we divide both sides of the equation by (4.6868686868687) to get x
100/4.6868686868687=x
21.336206896552=x
x=21.336206896552

now we have:
2.97 is 21.336206896552% of 13.92