What is 1030 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 1030% of the output value, so we can write it down as x=1030%.
5. Now we have two simple equations:
1) 40=100%
2) x=1030%
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%/1030%
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 1030% of 40

40/x=100/1030
(40/x)*x=(100/1030)*x       - we multiply both sides of the equation by x
40=0.097087378640777*x       - we divide both sides of the equation by (0.097087378640777) to get x
40/0.097087378640777=x
412=x
x=412

now we have:
1030% of 40=412