What is 160 percent of 102.6 - 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 102.6 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 102.6 is 100%, so we can write it down as 102.6=100%.
4. We know, that x is 160% of the output value, so we can write it down as x=160%.
5. Now we have two simple equations:
1) 102.6=100%
2) x=160%
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:
102.6/x=100%/160%
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 160% of 102.6

102.6/x=100/160
(102.6/x)*x=(100/160)*x       - we multiply both sides of the equation by x
102.6=0.625*x       - we divide both sides of the equation by (0.625) to get x
102.6/0.625=x
164.16=x
x=164.16

now we have:
160% of 102.6=164.16