What is 21.66 percent of 31.25 - 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 31.25 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 31.25 is 100%, so we can write it down as 31.25=100%.
4. We know, that x is 21.66% of the output value, so we can write it down as x=21.66%.
5. Now we have two simple equations:
1) 31.25=100%
2) x=21.66%
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:
31.25/x=100%/21.66%
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 21.66% of 31.25

31.25/x=100/21.66
(31.25/x)*x=(100/21.66)*x       - we multiply both sides of the equation by x
31.25=4.6168051708218*x       - we divide both sides of the equation by (4.6168051708218) to get x
31.25/4.6168051708218=x
6.76875=x
x=6.76875

now we have:
21.66% of 31.25=6.76875