40 is what percent of 45600 - 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 45600 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 45600, so we can write it down as 100%=45600.
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%=45600
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%=45600/40
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 45600

100%/x%=45600/40
(100/x)*x=(45600/40)*x       - we multiply both sides of the equation by x
100=1140*x       - we divide both sides of the equation by (1140) to get x
100/1140=x
0.087719298245614=x
x=0.087719298245614

now we have:
40 is 0.087719298245614% of 45600