What is 15.4 percent of 85.52 - 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 85.52 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 85.52 is 100%, so we can write it down as 85.52=100%.
4. We know, that x is 15.4% of the output value, so we can write it down as x=15.4%.
5. Now we have two simple equations:
1) 85.52=100%
2) x=15.4%
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:
85.52/x=100%/15.4%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 15.4% of 85.52

85.52/x=100/15.4
(85.52/x)*x=(100/15.4)*x       - we multiply both sides of the equation by x
85.52=6.4935064935065*x       - we divide both sides of the equation by (6.4935064935065) to get x
85.52/6.4935064935065=x
13.17008=x
x=13.17008

now we have:
15.4% of 85.52=13.17008