What is 5.03 percent of 224.75 - 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 224.75 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 224.75 is 100%, so we can write it down as 224.75=100%.
4. We know, that x is 5.03% of the output value, so we can write it down as x=5.03%.
5. Now we have two simple equations:
1) 224.75=100%
2) x=5.03%
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:
224.75/x=100%/5.03%
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 5.03% of 224.75

224.75/x=100/5.03
(224.75/x)*x=(100/5.03)*x       - we multiply both sides of the equation by x
224.75=19.880715705765*x       - we divide both sides of the equation by (19.880715705765) to get x
224.75/19.880715705765=x
11.304925=x
x=11.304925

now we have:
5.03% of 224.75=11.304925