5.3 is what percent of 40 - 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 40 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 40, so we can write it down as 100%=40.
4. We know, that x% equals 5.3 of the output value, so we can write it down as x%=5.3.
5. Now we have two simple equations:
1) 100%=40
2) x%=5.3
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%=40/5.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.3 is what percent of 40

100%/x%=40/5.3
(100/x)*x=(40/5.3)*x       - we multiply both sides of the equation by x
100=7.5471698113208*x       - we divide both sides of the equation by (7.5471698113208) to get x
100/7.5471698113208=x
13.25=x
x=13.25

now we have:
5.3 is 13.25% of 40