What is 279.99 percent of 40 - 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 40 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 40 is 100%, so we can write it down as 40=100%.
4. We know, that x is 279.99% of the output value, so we can write it down as x=279.99%.
5. Now we have two simple equations:
1) 40=100%
2) x=279.99%
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:
40/x=100%/279.99%
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 279.99% of 40

40/x=100/279.99
(40/x)*x=(100/279.99)*x       - we multiply both sides of the equation by x
40=0.35715561270045*x       - we divide both sides of the equation by (0.35715561270045) to get x
40/0.35715561270045=x
111.996=x
x=111.996

now we have:
279.99% of 40=111.996