2.9 is what percent of 18.3 - 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 18.3 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 18.3, so we can write it down as 100%=18.3.
4. We know, that x% equals 2.9 of the output value, so we can write it down as x%=2.9.
5. Now we have two simple equations:
1) 100%=18.3
2) x%=2.9
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%=18.3/2.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.9 is what percent of 18.3

100%/x%=18.3/2.9
(100/x)*x=(18.3/2.9)*x       - we multiply both sides of the equation by x
100=6.3103448275862*x       - we divide both sides of the equation by (6.3103448275862) to get x
100/6.3103448275862=x
15.846994535519=x
x=15.846994535519

now we have:
2.9 is 15.846994535519% of 18.3