66.36 is what percent of 40000 - 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 40000 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 40000, so we can write it down as 100%=40000.
4. We know, that x% equals 66.36 of the output value, so we can write it down as x%=66.36.
5. Now we have two simple equations:
1) 100%=40000
2) x%=66.36
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%=40000/66.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.36 is what percent of 40000

100%/x%=40000/66.36
(100/x)*x=(40000/66.36)*x       - we multiply both sides of the equation by x
100=602.77275467149*x       - we divide both sides of the equation by (602.77275467149) to get x
100/602.77275467149=x
0.1659=x
x=0.1659

now we have:
66.36 is 0.1659% of 40000