49.42 is what percent of 329.48 - 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 329.48 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 329.48, so we can write it down as 100%=329.48.
4. We know, that x% equals 49.42 of the output value, so we can write it down as x%=49.42.
5. Now we have two simple equations:
1) 100%=329.48
2) x%=49.42
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%=329.48/49.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.42 is what percent of 329.48

100%/x%=329.48/49.42
(100/x)*x=(329.48/49.42)*x       - we multiply both sides of the equation by x
100=6.6669364629705*x       - we divide both sides of the equation by (6.6669364629705) to get x
100/6.6669364629705=x
14.999392982882=x
x=14.999392982882

now we have:
49.42 is 14.999392982882% of 329.48