26.9 is what percent of 165.1 - 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 165.1 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 165.1, so we can write it down as 100%=165.1.
4. We know, that x% equals 26.9 of the output value, so we can write it down as x%=26.9.
5. Now we have two simple equations:
1) 100%=165.1
2) x%=26.9
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%=165.1/26.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.9 is what percent of 165.1

100%/x%=165.1/26.9
(100/x)*x=(165.1/26.9)*x       - we multiply both sides of the equation by x
100=6.1375464684015*x       - we divide both sides of the equation by (6.1375464684015) to get x
100/6.1375464684015=x
16.293155663234=x
x=16.293155663234

now we have:
26.9 is 16.293155663234% of 165.1