4298.3 is what percent of 55544.32 - 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 55544.32 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 55544.32, so we can write it down as 100%=55544.32.
4. We know, that x% equals 4298.3 of the output value, so we can write it down as x%=4298.3.
5. Now we have two simple equations:
1) 100%=55544.32
2) x%=4298.3
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%=55544.32/4298.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4298.3 is what percent of 55544.32

100%/x%=55544.32/4298.3
(100/x)*x=(55544.32/4298.3)*x       - we multiply both sides of the equation by x
100=12.922392573808*x       - we divide both sides of the equation by (12.922392573808) to get x
100/12.922392573808=x
7.7385050352583=x
x=7.7385050352583

now we have:
4298.3 is 7.7385050352583% of 55544.32