5.25 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 5.25 of the output value, so we can write it down as x%=5.25.
5. Now we have two simple equations:
1) 100%=40000
2) x%=5.25
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%=40000/5.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.25 is what percent of 40000

100%/x%=40000/5.25
(100/x)*x=(40000/5.25)*x       - we multiply both sides of the equation by x
100=7619.0476190476*x       - we divide both sides of the equation by (7619.0476190476) to get x
100/7619.0476190476=x
0.013125=x
x=0.013125

now we have:
5.25 is 0.013125% of 40000