What is 55.2 percent of 94.9 - 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 94.9 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 94.9 is 100%, so we can write it down as 94.9=100%.
4. We know, that x is 55.2% of the output value, so we can write it down as x=55.2%.
5. Now we have two simple equations:
1) 94.9=100%
2) x=55.2%
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:
94.9/x=100%/55.2%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 55.2% of 94.9

94.9/x=100/55.2
(94.9/x)*x=(100/55.2)*x       - we multiply both sides of the equation by x
94.9=1.8115942028986*x       - we divide both sides of the equation by (1.8115942028986) to get x
94.9/1.8115942028986=x
52.3848=x
x=52.3848

now we have:
55.2% of 94.9=52.3848