40 is what percent of 5264 - 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 5264 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 5264, so we can write it down as 100%=5264.
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%=5264
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%=5264/40
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 5264

100%/x%=5264/40
(100/x)*x=(5264/40)*x       - we multiply both sides of the equation by x
100=131.6*x       - we divide both sides of the equation by (131.6) to get x
100/131.6=x
0.75987841945289=x
x=0.75987841945289

now we have:
40 is 0.75987841945289% of 5264