18.2 is what percent of 69.43 - 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 69.43 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 69.43, so we can write it down as 100%=69.43.
4. We know, that x% equals 18.2 of the output value, so we can write it down as x%=18.2.
5. Now we have two simple equations:
1) 100%=69.43
2) x%=18.2
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%=69.43/18.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.2 is what percent of 69.43

100%/x%=69.43/18.2
(100/x)*x=(69.43/18.2)*x       - we multiply both sides of the equation by x
100=3.8148351648352*x       - we divide both sides of the equation by (3.8148351648352) to get x
100/3.8148351648352=x
26.213452398099=x
x=26.213452398099

now we have:
18.2 is 26.213452398099% of 69.43