4.9 is what percent of 166 - 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 166 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 166, so we can write it down as 100%=166.
4. We know, that x% equals 4.9 of the output value, so we can write it down as x%=4.9.
5. Now we have two simple equations:
1) 100%=166
2) x%=4.9
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%=166/4.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.9 is what percent of 166

100%/x%=166/4.9
(100/x)*x=(166/4.9)*x       - we multiply both sides of the equation by x
100=33.877551020408*x       - we divide both sides of the equation by (33.877551020408) to get x
100/33.877551020408=x
2.9518072289157=x
x=2.9518072289157

now we have:
4.9 is 2.9518072289157% of 166