What is 86.48 percent of 26 - 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 26 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 26 is 100%, so we can write it down as 26=100%.
4. We know, that x is 86.48% of the output value, so we can write it down as x=86.48%.
5. Now we have two simple equations:
1) 26=100%
2) x=86.48%
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:
26/x=100%/86.48%
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 86.48% of 26

26/x=100/86.48
(26/x)*x=(100/86.48)*x       - we multiply both sides of the equation by x
26=1.1563367252544*x       - we divide both sides of the equation by (1.1563367252544) to get x
26/1.1563367252544=x
22.4848=x
x=22.4848

now we have:
86.48% of 26=22.4848