What is 27.49 percent of 164.96 - 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 164.96 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 164.96 is 100%, so we can write it down as 164.96=100%.
4. We know, that x is 27.49% of the output value, so we can write it down as x=27.49%.
5. Now we have two simple equations:
1) 164.96=100%
2) x=27.49%
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:
164.96/x=100%/27.49%
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 27.49% of 164.96

164.96/x=100/27.49
(164.96/x)*x=(100/27.49)*x       - we multiply both sides of the equation by x
164.96=3.6376864314296*x       - we divide both sides of the equation by (3.6376864314296) to get x
164.96/3.6376864314296=x
45.347504=x
x=45.347504

now we have:
27.49% of 164.96=45.347504