What is 25 percent of 82.87 - 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 82.87 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 82.87 is 100%, so we can write it down as 82.87=100%.
4. We know, that x is 25% of the output value, so we can write it down as x=25%.
5. Now we have two simple equations:
1) 82.87=100%
2) x=25%
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:
82.87/x=100%/25%
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 25% of 82.87

82.87/x=100/25
(82.87/x)*x=(100/25)*x       - we multiply both sides of the equation by x
82.87=4*x       - we divide both sides of the equation by (4) to get x
82.87/4=x
20.7175=x
x=20.7175

now we have:
25% of 82.87=20.7175