What is 31.66 percent of 3100 - 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 3100 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 3100 is 100%, so we can write it down as 3100=100%.
4. We know, that x is 31.66% of the output value, so we can write it down as x=31.66%.
5. Now we have two simple equations:
1) 3100=100%
2) x=31.66%
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:
3100/x=100%/31.66%
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 31.66% of 3100

3100/x=100/31.66
(3100/x)*x=(100/31.66)*x       - we multiply both sides of the equation by x
3100=3.15855969678*x       - we divide both sides of the equation by (3.15855969678) to get x
3100/3.15855969678=x
981.46=x
x=981.46

now we have:
31.66% of 3100=981.46