399.84 is what percent of 1194.07 - 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 1194.07 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 1194.07, so we can write it down as 100%=1194.07.
4. We know, that x% equals 399.84 of the output value, so we can write it down as x%=399.84.
5. Now we have two simple equations:
1) 100%=1194.07
2) x%=399.84
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%=1194.07/399.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 399.84 is what percent of 1194.07

100%/x%=1194.07/399.84
(100/x)*x=(1194.07/399.84)*x       - we multiply both sides of the equation by x
100=2.9863695478191*x       - we divide both sides of the equation by (2.9863695478191) to get x
100/2.9863695478191=x
33.485474050935=x
x=33.485474050935

now we have:
399.84 is 33.485474050935% of 1194.07