42 is what percent of 199 - 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 199 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 199, so we can write it down as 100%=199.
4. We know, that x% equals 42 of the output value, so we can write it down as x%=42.
5. Now we have two simple equations:
1) 100%=199
2) x%=42
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%=199/42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42 is what percent of 199

100%/x%=199/42
(100/x)*x=(199/42)*x       - we multiply both sides of the equation by x
100=4.7380952380952*x       - we divide both sides of the equation by (4.7380952380952) to get x
100/4.7380952380952=x
21.105527638191=x
x=21.105527638191

now we have:
42 is 21.105527638191% of 199