What is 107.1 percent of 164.5 - 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 164.5 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 164.5 is 100%, so we can write it down as 164.5=100%.
4. We know, that x is 107.1% of the output value, so we can write it down as x=107.1%.
5. Now we have two simple equations:
1) 164.5=100%
2) x=107.1%
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:
164.5/x=100%/107.1%
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 107.1% of 164.5

164.5/x=100/107.1
(164.5/x)*x=(100/107.1)*x       - we multiply both sides of the equation by x
164.5=0.93370681605976*x       - we divide both sides of the equation by (0.93370681605976) to get x
164.5/0.93370681605976=x
176.1795=x
x=176.1795

now we have:
107.1% of 164.5=176.1795