44462.64 is what percent of 42004.62 - 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 42004.62 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 42004.62, so we can write it down as 100%=42004.62.
4. We know, that x% equals 44462.64 of the output value, so we can write it down as x%=44462.64.
5. Now we have two simple equations:
1) 100%=42004.62
2) x%=44462.64
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%=42004.62/44462.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44462.64 is what percent of 42004.62

100%/x%=42004.62/44462.64
(100/x)*x=(42004.62/44462.64)*x       - we multiply both sides of the equation by x
100=0.94471718278537*x       - we divide both sides of the equation by (0.94471718278537) to get x
100/0.94471718278537=x
105.85178487509=x
x=105.85178487509

now we have:
44462.64 is 105.85178487509% of 42004.62