3.96 is what percent of 5.23 - 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 5.23 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 5.23, so we can write it down as 100%=5.23.
4. We know, that x% equals 3.96 of the output value, so we can write it down as x%=3.96.
5. Now we have two simple equations:
1) 100%=5.23
2) x%=3.96
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%=5.23/3.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.96 is what percent of 5.23

100%/x%=5.23/3.96
(100/x)*x=(5.23/3.96)*x       - we multiply both sides of the equation by x
100=1.3207070707071*x       - we divide both sides of the equation by (1.3207070707071) to get x
100/1.3207070707071=x
75.717017208413=x
x=75.717017208413

now we have:
3.96 is 75.717017208413% of 5.23