10830.82 is what percent of 36000 - 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 36000 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 100% equals 36000, so we can write it down as 100%=36000.
4. We know, that x% equals 10830.82 of the output value, so we can write it down as x%=10830.82.
5. Now we have two simple equations:
1) 100%=36000
2) x%=10830.82
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:
100%/x%=36000/10830.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10830.82 is what percent of 36000

100%/x%=36000/10830.82
(100/x)*x=(36000/10830.82)*x       - we multiply both sides of the equation by x
100=3.3238480558259*x       - we divide both sides of the equation by (3.3238480558259) to get x
100/3.3238480558259=x
30.085611111111=x
x=30.085611111111

now we have:
10830.82 is 30.085611111111% of 36000