26 is what percent of 1601 - 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 1601 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 1601, so we can write it down as 100%=1601.
4. We know, that x% equals 26 of the output value, so we can write it down as x%=26.
5. Now we have two simple equations:
1) 100%=1601
2) x%=26
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%=1601/26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26 is what percent of 1601

100%/x%=1601/26
(100/x)*x=(1601/26)*x       - we multiply both sides of the equation by x
100=61.576923076923*x       - we divide both sides of the equation by (61.576923076923) to get x
100/61.576923076923=x
1.6239850093691=x
x=1.6239850093691

now we have:
26 is 1.6239850093691% of 1601