3.97 is what percent of 8.62 - 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 8.62 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 8.62, so we can write it down as 100%=8.62.
4. We know, that x% equals 3.97 of the output value, so we can write it down as x%=3.97.
5. Now we have two simple equations:
1) 100%=8.62
2) x%=3.97
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%=8.62/3.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.97 is what percent of 8.62

100%/x%=8.62/3.97
(100/x)*x=(8.62/3.97)*x       - we multiply both sides of the equation by x
100=2.1712846347607*x       - we divide both sides of the equation by (2.1712846347607) to get x
100/2.1712846347607=x
46.055684454756=x
x=46.055684454756

now we have:
3.97 is 46.055684454756% of 8.62