0.99 is what percent of 10.75 - 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 10.75 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 10.75, so we can write it down as 100%=10.75.
4. We know, that x% equals 0.99 of the output value, so we can write it down as x%=0.99.
5. Now we have two simple equations:
1) 100%=10.75
2) x%=0.99
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%=10.75/0.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.99 is what percent of 10.75

100%/x%=10.75/0.99
(100/x)*x=(10.75/0.99)*x       - we multiply both sides of the equation by x
100=10.858585858586*x       - we divide both sides of the equation by (10.858585858586) to get x
100/10.858585858586=x
9.2093023255814=x
x=9.2093023255814

now we have:
0.99 is 9.2093023255814% of 10.75