What is 6.86 percent of 144 - 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 144 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 144 is 100%, so we can write it down as 144=100%.
4. We know, that x is 6.86% of the output value, so we can write it down as x=6.86%.
5. Now we have two simple equations:
1) 144=100%
2) x=6.86%
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:
144/x=100%/6.86%
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 6.86% of 144

144/x=100/6.86
(144/x)*x=(100/6.86)*x       - we multiply both sides of the equation by x
144=14.577259475219*x       - we divide both sides of the equation by (14.577259475219) to get x
144/14.577259475219=x
9.8784=x
x=9.8784

now we have:
6.86% of 144=9.8784