49.67 is what percent of 160 - 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 160 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 160, so we can write it down as 100%=160.
4. We know, that x% equals 49.67 of the output value, so we can write it down as x%=49.67.
5. Now we have two simple equations:
1) 100%=160
2) x%=49.67
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%=160/49.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.67 is what percent of 160

100%/x%=160/49.67
(100/x)*x=(160/49.67)*x       - we multiply both sides of the equation by x
100=3.2212603180995*x       - we divide both sides of the equation by (3.2212603180995) to get x
100/3.2212603180995=x
31.04375=x
x=31.04375

now we have:
49.67 is 31.04375% of 160