43.05 is what percent of 97.64 - 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 97.64 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 97.64, so we can write it down as 100%=97.64.
4. We know, that x% equals 43.05 of the output value, so we can write it down as x%=43.05.
5. Now we have two simple equations:
1) 100%=97.64
2) x%=43.05
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%=97.64/43.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.05 is what percent of 97.64

100%/x%=97.64/43.05
(100/x)*x=(97.64/43.05)*x       - we multiply both sides of the equation by x
100=2.2680603948897*x       - we divide both sides of the equation by (2.2680603948897) to get x
100/2.2680603948897=x
44.090536665301=x
x=44.090536665301

now we have:
43.05 is 44.090536665301% of 97.64