16.7 is what percent of 42 - 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 42 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 42, so we can write it down as 100%=42.
4. We know, that x% equals 16.7 of the output value, so we can write it down as x%=16.7.
5. Now we have two simple equations:
1) 100%=42
2) x%=16.7
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%=42/16.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.7 is what percent of 42

100%/x%=42/16.7
(100/x)*x=(42/16.7)*x       - we multiply both sides of the equation by x
100=2.5149700598802*x       - we divide both sides of the equation by (2.5149700598802) to get x
100/2.5149700598802=x
39.761904761905=x
x=39.761904761905

now we have:
16.7 is 39.761904761905% of 42