43.63 is what percent of 44.55 - 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 44.55 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 44.55, so we can write it down as 100%=44.55.
4. We know, that x% equals 43.63 of the output value, so we can write it down as x%=43.63.
5. Now we have two simple equations:
1) 100%=44.55
2) x%=43.63
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%=44.55/43.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.63 is what percent of 44.55

100%/x%=44.55/43.63
(100/x)*x=(44.55/43.63)*x       - we multiply both sides of the equation by x
100=1.0210864084346*x       - we divide both sides of the equation by (1.0210864084346) to get x
100/1.0210864084346=x
97.934904601571=x
x=97.934904601571

now we have:
43.63 is 97.934904601571% of 44.55