What is 17.6 percent of 563.2 - 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 563.2 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 563.2 is 100%, so we can write it down as 563.2=100%.
4. We know, that x is 17.6% of the output value, so we can write it down as x=17.6%.
5. Now we have two simple equations:
1) 563.2=100%
2) x=17.6%
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:
563.2/x=100%/17.6%
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 17.6% of 563.2

563.2/x=100/17.6
(563.2/x)*x=(100/17.6)*x       - we multiply both sides of the equation by x
563.2=5.6818181818182*x       - we divide both sides of the equation by (5.6818181818182) to get x
563.2/5.6818181818182=x
99.1232=x
x=99.1232

now we have:
17.6% of 563.2=99.1232