9.5 is what percent of 10.821 - 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 10.821 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 10.821, so we can write it down as 100%=10.821.
4. We know, that x% equals 9.5 of the output value, so we can write it down as x%=9.5.
5. Now we have two simple equations:
1) 100%=10.821
2) x%=9.5
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%=10.821/9.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.5 is what percent of 10.821

100%/x%=10.821/9.5
(100/x)*x=(10.821/9.5)*x       - we multiply both sides of the equation by x
100=1.1390526315789*x       - we divide both sides of the equation by (1.1390526315789) to get x
100/1.1390526315789=x
87.79225579891=x
x=87.79225579891

now we have:
9.5 is 87.79225579891% of 10.821