161.71 is what percent of 1346.68 - 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 1346.68 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 1346.68, so we can write it down as 100%=1346.68.
4. We know, that x% equals 161.71 of the output value, so we can write it down as x%=161.71.
5. Now we have two simple equations:
1) 100%=1346.68
2) x%=161.71
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%=1346.68/161.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 161.71 is what percent of 1346.68

100%/x%=1346.68/161.71
(100/x)*x=(1346.68/161.71)*x       - we multiply both sides of the equation by x
100=8.327747201781*x       - we divide both sides of the equation by (8.327747201781) to get x
100/8.327747201781=x
12.008049425253=x
x=12.008049425253

now we have:
161.71 is 12.008049425253% of 1346.68