281.02 is what percent of 1040 - 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 1040 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 100% equals 1040, so we can write it down as 100%=1040.
4. We know, that x% equals 281.02 of the output value, so we can write it down as x%=281.02.
5. Now we have two simple equations:
1) 100%=1040
2) x%=281.02
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:
100%/x%=1040/281.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 281.02 is what percent of 1040

100%/x%=1040/281.02
(100/x)*x=(1040/281.02)*x       - we multiply both sides of the equation by x
100=3.7008042132233*x       - we divide both sides of the equation by (3.7008042132233) to get x
100/3.7008042132233=x
27.021153846154=x
x=27.021153846154

now we have:
281.02 is 27.021153846154% of 1040