161.79 is what percent of 1068.2 - 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 1068.2 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 1068.2, so we can write it down as 100%=1068.2.
4. We know, that x% equals 161.79 of the output value, so we can write it down as x%=161.79.
5. Now we have two simple equations:
1) 100%=1068.2
2) x%=161.79
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%=1068.2/161.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 161.79 is what percent of 1068.2

100%/x%=1068.2/161.79
(100/x)*x=(1068.2/161.79)*x       - we multiply both sides of the equation by x
100=6.6023858087644*x       - we divide both sides of the equation by (6.6023858087644) to get x
100/6.6023858087644=x
15.146040067403=x
x=15.146040067403

now we have:
161.79 is 15.146040067403% of 1068.2