36 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 36 of the output value, so we can write it down as x%=36.
5. Now we have two simple equations:
1) 100%=1601
2) x%=36
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%=1601/36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36 is what percent of 1601

100%/x%=1601/36
(100/x)*x=(1601/36)*x       - we multiply both sides of the equation by x
100=44.472222222222*x       - we divide both sides of the equation by (44.472222222222) to get x
100/44.472222222222=x
2.2485946283573=x
x=2.2485946283573

now we have:
36 is 2.2485946283573% of 1601