44.97 is what percent of 98.93 - 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 98.93 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 98.93, so we can write it down as 100%=98.93.
4. We know, that x% equals 44.97 of the output value, so we can write it down as x%=44.97.
5. Now we have two simple equations:
1) 100%=98.93
2) x%=44.97
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%=98.93/44.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.97 is what percent of 98.93

100%/x%=98.93/44.97
(100/x)*x=(98.93/44.97)*x       - we multiply both sides of the equation by x
100=2.1999110518123*x       - we divide both sides of the equation by (2.1999110518123) to get x
100/2.1999110518123=x
45.456383301324=x
x=45.456383301324

now we have:
44.97 is 45.456383301324% of 98.93