What is 28.7 percent of 31.71 - 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 31.71 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 31.71 is 100%, so we can write it down as 31.71=100%.
4. We know, that x is 28.7% of the output value, so we can write it down as x=28.7%.
5. Now we have two simple equations:
1) 31.71=100%
2) x=28.7%
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:
31.71/x=100%/28.7%
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 28.7% of 31.71

31.71/x=100/28.7
(31.71/x)*x=(100/28.7)*x       - we multiply both sides of the equation by x
31.71=3.4843205574913*x       - we divide both sides of the equation by (3.4843205574913) to get x
31.71/3.4843205574913=x
9.10077=x
x=9.10077

now we have:
28.7% of 31.71=9.10077