11.85 is what percent of 210.83 - 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 210.83 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 210.83, so we can write it down as 100%=210.83.
4. We know, that x% equals 11.85 of the output value, so we can write it down as x%=11.85.
5. Now we have two simple equations:
1) 100%=210.83
2) x%=11.85
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%=210.83/11.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.85 is what percent of 210.83

100%/x%=210.83/11.85
(100/x)*x=(210.83/11.85)*x       - we multiply both sides of the equation by x
100=17.791561181435*x       - we divide both sides of the equation by (17.791561181435) to get x
100/17.791561181435=x
5.6206422235925=x
x=5.6206422235925

now we have:
11.85 is 5.6206422235925% of 210.83