What is 145.95 percent of 165.95 - 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 165.95 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 165.95 is 100%, so we can write it down as 165.95=100%.
4. We know, that x is 145.95% of the output value, so we can write it down as x=145.95%.
5. Now we have two simple equations:
1) 165.95=100%
2) x=145.95%
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:
165.95/x=100%/145.95%
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 145.95% of 165.95

165.95/x=100/145.95
(165.95/x)*x=(100/145.95)*x       - we multiply both sides of the equation by x
165.95=0.68516615279205*x       - we divide both sides of the equation by (0.68516615279205) to get x
165.95/0.68516615279205=x
242.204025=x
x=242.204025

now we have:
145.95% of 165.95=242.204025