What is 110 percent of 83.6 - 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 83.6 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 83.6 is 100%, so we can write it down as 83.6=100%.
4. We know, that x is 110% of the output value, so we can write it down as x=110%.
5. Now we have two simple equations:
1) 83.6=100%
2) x=110%
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:
83.6/x=100%/110%
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 110% of 83.6

83.6/x=100/110
(83.6/x)*x=(100/110)*x       - we multiply both sides of the equation by x
83.6=0.909090909091*x       - we divide both sides of the equation by (0.909090909091) to get x
83.6/0.909090909091=x
91.96=x
x=91.96

now we have:
110% of 83.6=91.96