What is 1188 percent of 96.4 - 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 96.4 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 96.4 is 100%, so we can write it down as 96.4=100%.
4. We know, that x is 1188% of the output value, so we can write it down as x=1188%.
5. Now we have two simple equations:
1) 96.4=100%
2) x=1188%
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:
96.4/x=100%/1188%
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 1188% of 96.4

96.4/x=100/1188
(96.4/x)*x=(100/1188)*x       - we multiply both sides of the equation by x
96.4=0.084175084175084*x       - we divide both sides of the equation by (0.084175084175084) to get x
96.4/0.084175084175084=x
1145.232=x
x=1145.232

now we have:
1188% of 96.4=1145.232