What is 106.38 percent of 155 - 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 155 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 155 is 100%, so we can write it down as 155=100%.
4. We know, that x is 106.38% of the output value, so we can write it down as x=106.38%.
5. Now we have two simple equations:
1) 155=100%
2) x=106.38%
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:
155/x=100%/106.38%
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 106.38% of 155

155/x=100/106.38
(155/x)*x=(100/106.38)*x       - we multiply both sides of the equation by x
155=0.94002632073698*x       - we divide both sides of the equation by (0.94002632073698) to get x
155/0.94002632073698=x
164.889=x
x=164.889

now we have:
106.38% of 155=164.889