What is 7.13 percent of 166.74 - 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 166.74 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 166.74 is 100%, so we can write it down as 166.74=100%.
4. We know, that x is 7.13% of the output value, so we can write it down as x=7.13%.
5. Now we have two simple equations:
1) 166.74=100%
2) x=7.13%
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:
166.74/x=100%/7.13%
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 7.13% of 166.74

166.74/x=100/7.13
(166.74/x)*x=(100/7.13)*x       - we multiply both sides of the equation by x
166.74=14.025245441795*x       - we divide both sides of the equation by (14.025245441795) to get x
166.74/14.025245441795=x
11.888562=x
x=11.888562

now we have:
7.13% of 166.74=11.888562