161.45 is what percent of 1271.1 - 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 1271.1 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 1271.1, so we can write it down as 100%=1271.1.
4. We know, that x% equals 161.45 of the output value, so we can write it down as x%=161.45.
5. Now we have two simple equations:
1) 100%=1271.1
2) x%=161.45
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%=1271.1/161.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 161.45 is what percent of 1271.1

100%/x%=1271.1/161.45
(100/x)*x=(1271.1/161.45)*x       - we multiply both sides of the equation by x
100=7.8730257045525*x       - we divide both sides of the equation by (7.8730257045525) to get x
100/7.8730257045525=x
12.701597041932=x
x=12.701597041932

now we have:
161.45 is 12.701597041932% of 1271.1