What is 41.8 percent of 164.4 - 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 164.4 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 164.4 is 100%, so we can write it down as 164.4=100%.
4. We know, that x is 41.8% of the output value, so we can write it down as x=41.8%.
5. Now we have two simple equations:
1) 164.4=100%
2) x=41.8%
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:
164.4/x=100%/41.8%
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 41.8% of 164.4

164.4/x=100/41.8
(164.4/x)*x=(100/41.8)*x       - we multiply both sides of the equation by x
164.4=2.3923444976077*x       - we divide both sides of the equation by (2.3923444976077) to get x
164.4/2.3923444976077=x
68.7192=x
x=68.7192

now we have:
41.8% of 164.4=68.7192