What is 10.7 percent of 165.8 - 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 165.8 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 165.8 is 100%, so we can write it down as 165.8=100%.
4. We know, that x is 10.7% of the output value, so we can write it down as x=10.7%.
5. Now we have two simple equations:
1) 165.8=100%
2) x=10.7%
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:
165.8/x=100%/10.7%
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 10.7% of 165.8

165.8/x=100/10.7
(165.8/x)*x=(100/10.7)*x       - we multiply both sides of the equation by x
165.8=9.3457943925234*x       - we divide both sides of the equation by (9.3457943925234) to get x
165.8/9.3457943925234=x
17.7406=x
x=17.7406

now we have:
10.7% of 165.8=17.7406