What is 56.49 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 56.49% of the output value, so we can write it down as x=56.49%.
5. Now we have two simple equations:
1) 89.99=100%
2) x=56.49%
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%/56.49%
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 56.49% of 89.99

89.99/x=100/56.49
(89.99/x)*x=(100/56.49)*x       - we multiply both sides of the equation by x
89.99=1.770224818552*x       - we divide both sides of the equation by (1.770224818552) to get x
89.99/1.770224818552=x
50.835351=x
x=50.835351

now we have:
56.49% of 89.99=50.835351