166.8 is what percent of 262 - 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 262 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 262, so we can write it down as 100%=262.
4. We know, that x% equals 166.8 of the output value, so we can write it down as x%=166.8.
5. Now we have two simple equations:
1) 100%=262
2) x%=166.8
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%=262/166.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 166.8 is what percent of 262

100%/x%=262/166.8
(100/x)*x=(262/166.8)*x       - we multiply both sides of the equation by x
100=1.5707434052758*x       - we divide both sides of the equation by (1.5707434052758) to get x
100/1.5707434052758=x
63.664122137405=x
x=63.664122137405

now we have:
166.8 is 63.664122137405% of 262