What is 83.6 percent of 1100 - 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 1100 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 1100 is 100%, so we can write it down as 1100=100%.
4. We know, that x is 83.6% of the output value, so we can write it down as x=83.6%.
5. Now we have two simple equations:
1) 1100=100%
2) x=83.6%
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:
1100/x=100%/83.6%
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 83.6% of 1100

1100/x=100/83.6
(1100/x)*x=(100/83.6)*x       - we multiply both sides of the equation by x
1100=1.1961722488038*x       - we divide both sides of the equation by (1.1961722488038) to get x
1100/1.1961722488038=x
919.6=x
x=919.6

now we have:
83.6% of 1100=919.6