What is 26.48 percent of 165.24 - 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 165.24 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 165.24 is 100%, so we can write it down as 165.24=100%.
4. We know, that x is 26.48% of the output value, so we can write it down as x=26.48%.
5. Now we have two simple equations:
1) 165.24=100%
2) x=26.48%
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:
165.24/x=100%/26.48%
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 26.48% of 165.24

165.24/x=100/26.48
(165.24/x)*x=(100/26.48)*x       - we multiply both sides of the equation by x
165.24=3.7764350453172*x       - we divide both sides of the equation by (3.7764350453172) to get x
165.24/3.7764350453172=x
43.755552=x
x=43.755552

now we have:
26.48% of 165.24=43.755552