What is 31.15 percent of 1000 - 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 1000 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 1000 is 100%, so we can write it down as 1000=100%.
4. We know, that x is 31.15% of the output value, so we can write it down as x=31.15%.
5. Now we have two simple equations:
1) 1000=100%
2) x=31.15%
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:
1000/x=100%/31.15%
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 31.15% of 1000

1000/x=100/31.15
(1000/x)*x=(100/31.15)*x       - we multiply both sides of the equation by x
1000=3.2102728731942*x       - we divide both sides of the equation by (3.2102728731942) to get x
1000/3.2102728731942=x
311.5=x
x=311.5

now we have:
31.15% of 1000=311.5