36 is what percent of 3973 - 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 3973 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 3973, so we can write it down as 100%=3973.
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%=3973
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%=3973/36
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 3973

100%/x%=3973/36
(100/x)*x=(3973/36)*x       - we multiply both sides of the equation by x
100=110.36111111111*x       - we divide both sides of the equation by (110.36111111111) to get x
100/110.36111111111=x
0.90611628492323=x
x=0.90611628492323

now we have:
36 is 0.90611628492323% of 3973