4.12 is what percent of 97.63 - 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 97.63 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 97.63, so we can write it down as 100%=97.63.
4. We know, that x% equals 4.12 of the output value, so we can write it down as x%=4.12.
5. Now we have two simple equations:
1) 100%=97.63
2) x%=4.12
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%=97.63/4.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.12 is what percent of 97.63

100%/x%=97.63/4.12
(100/x)*x=(97.63/4.12)*x       - we multiply both sides of the equation by x
100=23.696601941748*x       - we divide both sides of the equation by (23.696601941748) to get x
100/23.696601941748=x
4.2200143398546=x
x=4.2200143398546

now we have:
4.12 is 4.2200143398546% of 97.63