40 is what percent of 2564 - 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 2564 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 2564, so we can write it down as 100%=2564.
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%=2564
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%=2564/40
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 2564

100%/x%=2564/40
(100/x)*x=(2564/40)*x       - we multiply both sides of the equation by x
100=64.1*x       - we divide both sides of the equation by (64.1) to get x
100/64.1=x
1.5600624024961=x
x=1.5600624024961

now we have:
40 is 1.5600624024961% of 2564