What is 8.53 percent of 553.5 - 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 553.5 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 553.5 is 100%, so we can write it down as 553.5=100%.
4. We know, that x is 8.53% of the output value, so we can write it down as x=8.53%.
5. Now we have two simple equations:
1) 553.5=100%
2) x=8.53%
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:
553.5/x=100%/8.53%
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 8.53% of 553.5

553.5/x=100/8.53
(553.5/x)*x=(100/8.53)*x       - we multiply both sides of the equation by x
553.5=11.723329425557*x       - we divide both sides of the equation by (11.723329425557) to get x
553.5/11.723329425557=x
47.21355=x
x=47.21355

now we have:
8.53% of 553.5=47.21355