18 is what percent of 53.46 - 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 53.46 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 53.46, so we can write it down as 100%=53.46.
4. We know, that x% equals 18 of the output value, so we can write it down as x%=18.
5. Now we have two simple equations:
1) 100%=53.46
2) x%=18
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%=53.46/18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18 is what percent of 53.46

100%/x%=53.46/18
(100/x)*x=(53.46/18)*x       - we multiply both sides of the equation by x
100=2.97*x       - we divide both sides of the equation by (2.97) to get x
100/2.97=x
33.670033670034=x
x=33.670033670034

now we have:
18 is 33.670033670034% of 53.46