What is 164 percent of 109 - 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 109 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 109 is 100%, so we can write it down as 109=100%.
4. We know, that x is 164% of the output value, so we can write it down as x=164%.
5. Now we have two simple equations:
1) 109=100%
2) x=164%
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:
109/x=100%/164%
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 164% of 109

109/x=100/164
(109/x)*x=(100/164)*x       - we multiply both sides of the equation by x
109=0.60975609756098*x       - we divide both sides of the equation by (0.60975609756098) to get x
109/0.60975609756098=x
178.76=x
x=178.76

now we have:
164% of 109=178.76