396.4 is what percent of 2170 - 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 2170 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 2170, so we can write it down as 100%=2170.
4. We know, that x% equals 396.4 of the output value, so we can write it down as x%=396.4.
5. Now we have two simple equations:
1) 100%=2170
2) x%=396.4
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%=2170/396.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 396.4 is what percent of 2170

100%/x%=2170/396.4
(100/x)*x=(2170/396.4)*x       - we multiply both sides of the equation by x
100=5.4742684157417*x       - we divide both sides of the equation by (5.4742684157417) to get x
100/5.4742684157417=x
18.267281105991=x
x=18.267281105991

now we have:
396.4 is 18.267281105991% of 2170