What is 82.6 percent of 29.84 - 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 29.84 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 29.84 is 100%, so we can write it down as 29.84=100%.
4. We know, that x is 82.6% of the output value, so we can write it down as x=82.6%.
5. Now we have two simple equations:
1) 29.84=100%
2) x=82.6%
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:
29.84/x=100%/82.6%
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 82.6% of 29.84

29.84/x=100/82.6
(29.84/x)*x=(100/82.6)*x       - we multiply both sides of the equation by x
29.84=1.2106537530266*x       - we divide both sides of the equation by (1.2106537530266) to get x
29.84/1.2106537530266=x
24.64784=x
x=24.64784

now we have:
82.6% of 29.84=24.64784