13.4 is what percent of 201.6 - 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 201.6 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 201.6, so we can write it down as 100%=201.6.
4. We know, that x% equals 13.4 of the output value, so we can write it down as x%=13.4.
5. Now we have two simple equations:
1) 100%=201.6
2) x%=13.4
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%=201.6/13.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.4 is what percent of 201.6

100%/x%=201.6/13.4
(100/x)*x=(201.6/13.4)*x       - we multiply both sides of the equation by x
100=15.044776119403*x       - we divide both sides of the equation by (15.044776119403) to get x
100/15.044776119403=x
6.6468253968254=x
x=6.6468253968254

now we have:
13.4 is 6.6468253968254% of 201.6