395.22 is what percent of 1185.67 - 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 1185.67 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 1185.67, so we can write it down as 100%=1185.67.
4. We know, that x% equals 395.22 of the output value, so we can write it down as x%=395.22.
5. Now we have two simple equations:
1) 100%=1185.67
2) x%=395.22
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%=1185.67/395.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 395.22 is what percent of 1185.67

100%/x%=1185.67/395.22
(100/x)*x=(1185.67/395.22)*x       - we multiply both sides of the equation by x
100=3.0000253023632*x       - we divide both sides of the equation by (3.0000253023632) to get x
100/3.0000253023632=x
33.333052198335=x
x=33.333052198335

now we have:
395.22 is 33.333052198335% of 1185.67