What is 42.26 percent of 165 - 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 165 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 165 is 100%, so we can write it down as 165=100%.
4. We know, that x is 42.26% of the output value, so we can write it down as x=42.26%.
5. Now we have two simple equations:
1) 165=100%
2) x=42.26%
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:
165/x=100%/42.26%
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 42.26% of 165

165/x=100/42.26
(165/x)*x=(100/42.26)*x       - we multiply both sides of the equation by x
165=2.3663038334122*x       - we divide both sides of the equation by (2.3663038334122) to get x
165/2.3663038334122=x
69.729=x
x=69.729

now we have:
42.26% of 165=69.729