205.8 is what percent of 1115.99 - 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 1115.99 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 1115.99, so we can write it down as 100%=1115.99.
4. We know, that x% equals 205.8 of the output value, so we can write it down as x%=205.8.
5. Now we have two simple equations:
1) 100%=1115.99
2) x%=205.8
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%=1115.99/205.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 205.8 is what percent of 1115.99

100%/x%=1115.99/205.8
(100/x)*x=(1115.99/205.8)*x       - we multiply both sides of the equation by x
100=5.4226919339164*x       - we divide both sides of the equation by (5.4226919339164) to get x
100/5.4226919339164=x
18.441025457217=x
x=18.441025457217

now we have:
205.8 is 18.441025457217% of 1115.99