166.7 is what percent of 284 - 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 284 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 284, so we can write it down as 100%=284.
4. We know, that x% equals 166.7 of the output value, so we can write it down as x%=166.7.
5. Now we have two simple equations:
1) 100%=284
2) x%=166.7
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%=284/166.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 166.7 is what percent of 284

100%/x%=284/166.7
(100/x)*x=(284/166.7)*x       - we multiply both sides of the equation by x
100=1.7036592681464*x       - we divide both sides of the equation by (1.7036592681464) to get x
100/1.7036592681464=x
58.697183098592=x
x=58.697183098592

now we have:
166.7 is 58.697183098592% of 284