What is 10.4 percent of 166.4 - 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 166.4 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 166.4 is 100%, so we can write it down as 166.4=100%.
4. We know, that x is 10.4% of the output value, so we can write it down as x=10.4%.
5. Now we have two simple equations:
1) 166.4=100%
2) x=10.4%
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:
166.4/x=100%/10.4%
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 10.4% of 166.4

166.4/x=100/10.4
(166.4/x)*x=(100/10.4)*x       - we multiply both sides of the equation by x
166.4=9.6153846153846*x       - we divide both sides of the equation by (9.6153846153846) to get x
166.4/9.6153846153846=x
17.3056=x
x=17.3056

now we have:
10.4% of 166.4=17.3056