What is 42.92 percent of 1140 - 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 1140 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 1140 is 100%, so we can write it down as 1140=100%.
4. We know, that x is 42.92% of the output value, so we can write it down as x=42.92%.
5. Now we have two simple equations:
1) 1140=100%
2) x=42.92%
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:
1140/x=100%/42.92%
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 42.92% of 1140

1140/x=100/42.92
(1140/x)*x=(100/42.92)*x       - we multiply both sides of the equation by x
1140=2.3299161230196*x       - we divide both sides of the equation by (2.3299161230196) to get x
1140/2.3299161230196=x
489.288=x
x=489.288

now we have:
42.92% of 1140=489.288