What is 93.5 percent of 116.8 - 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 116.8 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 116.8 is 100%, so we can write it down as 116.8=100%.
4. We know, that x is 93.5% of the output value, so we can write it down as x=93.5%.
5. Now we have two simple equations:
1) 116.8=100%
2) x=93.5%
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:
116.8/x=100%/93.5%
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 93.5% of 116.8

116.8/x=100/93.5
(116.8/x)*x=(100/93.5)*x       - we multiply both sides of the equation by x
116.8=1.0695187165775*x       - we divide both sides of the equation by (1.0695187165775) to get x
116.8/1.0695187165775=x
109.208=x
x=109.208

now we have:
93.5% of 116.8=109.208