What is 2.5 percent of 164.35 - 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 164.35 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 164.35 is 100%, so we can write it down as 164.35=100%.
4. We know, that x is 2.5% of the output value, so we can write it down as x=2.5%.
5. Now we have two simple equations:
1) 164.35=100%
2) x=2.5%
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:
164.35/x=100%/2.5%
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 2.5% of 164.35

164.35/x=100/2.5
(164.35/x)*x=(100/2.5)*x       - we multiply both sides of the equation by x
164.35=40*x       - we divide both sides of the equation by (40) to get x
164.35/40=x
4.10875=x
x=4.10875

now we have:
2.5% of 164.35=4.10875