49339.22 is what percent of 116553.5 - 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 116553.5 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 116553.5, so we can write it down as 100%=116553.5.
4. We know, that x% equals 49339.22 of the output value, so we can write it down as x%=49339.22.
5. Now we have two simple equations:
1) 100%=116553.5
2) x%=49339.22
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%=116553.5/49339.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49339.22 is what percent of 116553.5

100%/x%=116553.5/49339.22
(100/x)*x=(116553.5/49339.22)*x       - we multiply both sides of the equation by x
100=2.3622890673991*x       - we divide both sides of the equation by (2.3622890673991) to get x
100/2.3622890673991=x
42.331821867211=x
x=42.331821867211

now we have:
49339.22 is 42.331821867211% of 116553.5