96 is what percent of 8050 - 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 8050 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 100% equals 8050, so we can write it down as 100%=8050.
4. We know, that x% equals 96 of the output value, so we can write it down as x%=96.
5. Now we have two simple equations:
1) 100%=8050
2) x%=96
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:
100%/x%=8050/96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96 is what percent of 8050

100%/x%=8050/96
(100/x)*x=(8050/96)*x       - we multiply both sides of the equation by x
100=83.854166666667*x       - we divide both sides of the equation by (83.854166666667) to get x
100/83.854166666667=x
1.1925465838509=x
x=1.1925465838509

now we have:
96 is 1.1925465838509% of 8050