What is 82.44 percent of 89.99 - 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 89.99 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 89.99 is 100%, so we can write it down as 89.99=100%.
4. We know, that x is 82.44% of the output value, so we can write it down as x=82.44%.
5. Now we have two simple equations:
1) 89.99=100%
2) x=82.44%
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:
89.99/x=100%/82.44%
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 82.44% of 89.99

89.99/x=100/82.44
(89.99/x)*x=(100/82.44)*x       - we multiply both sides of the equation by x
89.99=1.2130033964095*x       - we divide both sides of the equation by (1.2130033964095) to get x
89.99/1.2130033964095=x
74.187756=x
x=74.187756

now we have:
82.44% of 89.99=74.187756