What is 2.6 percent of 86.6 - 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 86.6 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 86.6 is 100%, so we can write it down as 86.6=100%.
4. We know, that x is 2.6% of the output value, so we can write it down as x=2.6%.
5. Now we have two simple equations:
1) 86.6=100%
2) x=2.6%
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:
86.6/x=100%/2.6%
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 2.6% of 86.6

86.6/x=100/2.6
(86.6/x)*x=(100/2.6)*x       - we multiply both sides of the equation by x
86.6=38.461538461538*x       - we divide both sides of the equation by (38.461538461538) to get x
86.6/38.461538461538=x
2.2516=x
x=2.2516

now we have:
2.6% of 86.6=2.2516