42.1 is what percent of 18 - 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 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, so we can write it down as 100%=18.
4. We know, that x% equals 42.1 of the output value, so we can write it down as x%=42.1.
5. Now we have two simple equations:
1) 100%=18
2) x%=42.1
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%=18/42.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.1 is what percent of 18

100%/x%=18/42.1
(100/x)*x=(18/42.1)*x       - we multiply both sides of the equation by x
100=0.42755344418052*x       - we divide both sides of the equation by (0.42755344418052) to get x
100/0.42755344418052=x
233.88888888889=x
x=233.88888888889

now we have:
42.1 is 233.88888888889% of 18