16.67 is what percent of 28.42 - 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 28.42 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 28.42, so we can write it down as 100%=28.42.
4. We know, that x% equals 16.67 of the output value, so we can write it down as x%=16.67.
5. Now we have two simple equations:
1) 100%=28.42
2) x%=16.67
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%=28.42/16.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.67 is what percent of 28.42

100%/x%=28.42/16.67
(100/x)*x=(28.42/16.67)*x       - we multiply both sides of the equation by x
100=1.7048590281944*x       - we divide both sides of the equation by (1.7048590281944) to get x
100/1.7048590281944=x
58.655876143561=x
x=58.655876143561

now we have:
16.67 is 58.655876143561% of 28.42