44.6 is what percent of 49 - 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 49 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 49, so we can write it down as 100%=49.
4. We know, that x% equals 44.6 of the output value, so we can write it down as x%=44.6.
5. Now we have two simple equations:
1) 100%=49
2) x%=44.6
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%=49/44.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.6 is what percent of 49

100%/x%=49/44.6
(100/x)*x=(49/44.6)*x       - we multiply both sides of the equation by x
100=1.0986547085202*x       - we divide both sides of the equation by (1.0986547085202) to get x
100/1.0986547085202=x
91.020408163265=x
x=91.020408163265

now we have:
44.6 is 91.020408163265% of 49