161.76 is what percent of 1014.48 - 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 1014.48 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 1014.48, so we can write it down as 100%=1014.48.
4. We know, that x% equals 161.76 of the output value, so we can write it down as x%=161.76.
5. Now we have two simple equations:
1) 100%=1014.48
2) x%=161.76
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%=1014.48/161.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 161.76 is what percent of 1014.48

100%/x%=1014.48/161.76
(100/x)*x=(1014.48/161.76)*x       - we multiply both sides of the equation by x
100=6.2715133531157*x       - we divide both sides of the equation by (6.2715133531157) to get x
100/6.2715133531157=x
15.945114738585=x
x=15.945114738585

now we have:
161.76 is 15.945114738585% of 1014.48