389.6 is what percent of 1167.6 - 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 1167.6 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 1167.6, so we can write it down as 100%=1167.6.
4. We know, that x% equals 389.6 of the output value, so we can write it down as x%=389.6.
5. Now we have two simple equations:
1) 100%=1167.6
2) x%=389.6
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%=1167.6/389.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 389.6 is what percent of 1167.6

100%/x%=1167.6/389.6
(100/x)*x=(1167.6/389.6)*x       - we multiply both sides of the equation by x
100=2.9969199178645*x       - we divide both sides of the equation by (2.9969199178645) to get x
100/2.9969199178645=x
33.367591640973=x
x=33.367591640973

now we have:
389.6 is 33.367591640973% of 1167.6