What is 135 percent of 86.4 - 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 86.4 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 86.4 is 100%, so we can write it down as 86.4=100%.
4. We know, that x is 135% of the output value, so we can write it down as x=135%.
5. Now we have two simple equations:
1) 86.4=100%
2) x=135%
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:
86.4/x=100%/135%
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 135% of 86.4

86.4/x=100/135
(86.4/x)*x=(100/135)*x       - we multiply both sides of the equation by x
86.4=0.74074074074074*x       - we divide both sides of the equation by (0.74074074074074) to get x
86.4/0.74074074074074=x
116.64=x
x=116.64

now we have:
135% of 86.4=116.64