40 is what percent of 3604 - 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 3604 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 3604, so we can write it down as 100%=3604.
4. We know, that x% equals 40 of the output value, so we can write it down as x%=40.
5. Now we have two simple equations:
1) 100%=3604
2) x%=40
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%=3604/40
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40 is what percent of 3604

100%/x%=3604/40
(100/x)*x=(3604/40)*x       - we multiply both sides of the equation by x
100=90.1*x       - we divide both sides of the equation by (90.1) to get x
100/90.1=x
1.1098779134295=x
x=1.1098779134295

now we have:
40 is 1.1098779134295% of 3604