What is 75.26 percent of 96 - 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 96 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 96 is 100%, so we can write it down as 96=100%.
4. We know, that x is 75.26% of the output value, so we can write it down as x=75.26%.
5. Now we have two simple equations:
1) 96=100%
2) x=75.26%
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:
96/x=100%/75.26%
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 75.26% of 96

96/x=100/75.26
(96/x)*x=(100/75.26)*x       - we multiply both sides of the equation by x
96=1.3287270794579*x       - we divide both sides of the equation by (1.3287270794579) to get x
96/1.3287270794579=x
72.2496=x
x=72.2496

now we have:
75.26% of 96=72.2496