What is 47.5 percent of 992.56 - 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 992.56 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 992.56 is 100%, so we can write it down as 992.56=100%.
4. We know, that x is 47.5% of the output value, so we can write it down as x=47.5%.
5. Now we have two simple equations:
1) 992.56=100%
2) x=47.5%
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:
992.56/x=100%/47.5%
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 47.5% of 992.56

992.56/x=100/47.5
(992.56/x)*x=(100/47.5)*x       - we multiply both sides of the equation by x
992.56=2.1052631578947*x       - we divide both sides of the equation by (2.1052631578947) to get x
992.56/2.1052631578947=x
471.466=x
x=471.466

now we have:
47.5% of 992.56=471.466