1185.8 is what percent of 12450 - 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 12450 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 12450, so we can write it down as 100%=12450.
4. We know, that x% equals 1185.8 of the output value, so we can write it down as x%=1185.8.
5. Now we have two simple equations:
1) 100%=12450
2) x%=1185.8
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%=12450/1185.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1185.8 is what percent of 12450

100%/x%=12450/1185.8
(100/x)*x=(12450/1185.8)*x       - we multiply both sides of the equation by x
100=10.499241018722*x       - we divide both sides of the equation by (10.499241018722) to get x
100/10.499241018722=x
9.5244979919679=x
x=9.5244979919679

now we have:
1185.8 is 9.5244979919679% of 12450