49.65 is what percent of 5417.45 - 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 5417.45 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 5417.45, so we can write it down as 100%=5417.45.
4. We know, that x% equals 49.65 of the output value, so we can write it down as x%=49.65.
5. Now we have two simple equations:
1) 100%=5417.45
2) x%=49.65
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%=5417.45/49.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.65 is what percent of 5417.45

100%/x%=5417.45/49.65
(100/x)*x=(5417.45/49.65)*x       - we multiply both sides of the equation by x
100=109.11278952669*x       - we divide both sides of the equation by (109.11278952669) to get x
100/109.11278952669=x
0.91648284709596=x
x=0.91648284709596

now we have:
49.65 is 0.91648284709596% of 5417.45