What is 82.2 percent of 167 - 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 167 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 167 is 100%, so we can write it down as 167=100%.
4. We know, that x is 82.2% of the output value, so we can write it down as x=82.2%.
5. Now we have two simple equations:
1) 167=100%
2) x=82.2%
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:
167/x=100%/82.2%
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 82.2% of 167

167/x=100/82.2
(167/x)*x=(100/82.2)*x       - we multiply both sides of the equation by x
167=1.2165450121655*x       - we divide both sides of the equation by (1.2165450121655) to get x
167/1.2165450121655=x
137.274=x
x=137.274

now we have:
82.2% of 167=137.274