What is 1049 percent of 1199 - 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 1199 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 1199 is 100%, so we can write it down as 1199=100%.
4. We know, that x is 1049% of the output value, so we can write it down as x=1049%.
5. Now we have two simple equations:
1) 1199=100%
2) x=1049%
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:
1199/x=100%/1049%
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 1049% of 1199

1199/x=100/1049
(1199/x)*x=(100/1049)*x       - we multiply both sides of the equation by x
1199=0.09532888465205*x       - we divide both sides of the equation by (0.09532888465205) to get x
1199/0.09532888465205=x
12577.51=x
x=12577.51

now we have:
1049% of 1199=12577.51