What is 5.55 percent of 10.5 - 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 10.5 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 10.5 is 100%, so we can write it down as 10.5=100%.
4. We know, that x is 5.55% of the output value, so we can write it down as x=5.55%.
5. Now we have two simple equations:
1) 10.5=100%
2) x=5.55%
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:
10.5/x=100%/5.55%
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 5.55% of 10.5

10.5/x=100/5.55
(10.5/x)*x=(100/5.55)*x       - we multiply both sides of the equation by x
10.5=18.018018018018*x       - we divide both sides of the equation by (18.018018018018) to get x
10.5/18.018018018018=x
0.58275=x
x=0.58275

now we have:
5.55% of 10.5=0.58275