1174.35 is what percent of 6394.4 - 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 6394.4 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 6394.4, so we can write it down as 100%=6394.4.
4. We know, that x% equals 1174.35 of the output value, so we can write it down as x%=1174.35.
5. Now we have two simple equations:
1) 100%=6394.4
2) x%=1174.35
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%=6394.4/1174.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1174.35 is what percent of 6394.4

100%/x%=6394.4/1174.35
(100/x)*x=(6394.4/1174.35)*x       - we multiply both sides of the equation by x
100=5.4450547111168*x       - we divide both sides of the equation by (5.4450547111168) to get x
100/5.4450547111168=x
18.36528837733=x
x=18.36528837733

now we have:
1174.35 is 18.36528837733% of 6394.4