What is 106.64 percent of 842.04 - 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 842.04 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 842.04 is 100%, so we can write it down as 842.04=100%.
4. We know, that x is 106.64% of the output value, so we can write it down as x=106.64%.
5. Now we have two simple equations:
1) 842.04=100%
2) x=106.64%
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:
842.04/x=100%/106.64%
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 106.64% of 842.04

842.04/x=100/106.64
(842.04/x)*x=(100/106.64)*x       - we multiply both sides of the equation by x
842.04=0.9377344336084*x       - we divide both sides of the equation by (0.9377344336084) to get x
842.04/0.9377344336084=x
897.951456=x
x=897.951456

now we have:
106.64% of 842.04=897.951456