What is 15.58 percent of 224.45 - 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 224.45 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 224.45 is 100%, so we can write it down as 224.45=100%.
4. We know, that x is 15.58% of the output value, so we can write it down as x=15.58%.
5. Now we have two simple equations:
1) 224.45=100%
2) x=15.58%
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:
224.45/x=100%/15.58%
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 15.58% of 224.45

224.45/x=100/15.58
(224.45/x)*x=(100/15.58)*x       - we multiply both sides of the equation by x
224.45=6.418485237484*x       - we divide both sides of the equation by (6.418485237484) to get x
224.45/6.418485237484=x
34.96931=x
x=34.96931

now we have:
15.58% of 224.45=34.96931