What is 10.98 percent of 10835.55 - 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 10835.55 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 10835.55 is 100%, so we can write it down as 10835.55=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) 10835.55=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:
10835.55/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 10835.55

10835.55/x=100/10.98
(10835.55/x)*x=(100/10.98)*x       - we multiply both sides of the equation by x
10835.55=9.1074681238616*x       - we divide both sides of the equation by (9.1074681238616) to get x
10835.55/9.1074681238616=x
1189.74339=x
x=1189.74339

now we have:
10.98% of 10835.55=1189.74339