What is 10.98 percent of 475 - 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 475 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 475 is 100%, so we can write it down as 475=100%.
4. We know, that x is 10.98% of the output value, so we can write it down as x=10.98%.
5. Now we have two simple equations:
1) 475=100%
2) x=10.98%
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:
475/x=100%/10.98%
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 10.98% of 475

475/x=100/10.98
(475/x)*x=(100/10.98)*x       - we multiply both sides of the equation by x
475=9.1074681238616*x       - we divide both sides of the equation by (9.1074681238616) to get x
475/9.1074681238616=x
52.155=x
x=52.155

now we have:
10.98% of 475=52.155