49.24 is what percent of 168.96 - 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 168.96 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 168.96, so we can write it down as 100%=168.96.
4. We know, that x% equals 49.24 of the output value, so we can write it down as x%=49.24.
5. Now we have two simple equations:
1) 100%=168.96
2) x%=49.24
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%=168.96/49.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.24 is what percent of 168.96

100%/x%=168.96/49.24
(100/x)*x=(168.96/49.24)*x       - we multiply both sides of the equation by x
100=3.4313566206336*x       - we divide both sides of the equation by (3.4313566206336) to get x
100/3.4313566206336=x
29.142992424242=x
x=29.142992424242

now we have:
49.24 is 29.142992424242% of 168.96