What is 9.4625 percent of 1120 - 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 1120 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 1120 is 100%, so we can write it down as 1120=100%.
4. We know, that x is 9.4625% of the output value, so we can write it down as x=9.4625%.
5. Now we have two simple equations:
1) 1120=100%
2) x=9.4625%
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:
1120/x=100%/9.4625%
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 9.4625% of 1120

1120/x=100/9.4625
(1120/x)*x=(100/9.4625)*x       - we multiply both sides of the equation by x
1120=10.568031704095*x       - we divide both sides of the equation by (10.568031704095) to get x
1120/10.568031704095=x
105.98=x
x=105.98

now we have:
9.4625% of 1120=105.98