9 is what percent of 10958 - 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 10958 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 10958, so we can write it down as 100%=10958.
4. We know, that x% equals 9 of the output value, so we can write it down as x%=9.
5. Now we have two simple equations:
1) 100%=10958
2) x%=9
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%=10958/9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9 is what percent of 10958

100%/x%=10958/9
(100/x)*x=(10958/9)*x       - we multiply both sides of the equation by x
100=1217.5555555556*x       - we divide both sides of the equation by (1217.5555555556) to get x
100/1217.5555555556=x
0.082131775871509=x
x=0.082131775871509

now we have:
9 is 0.082131775871509% of 10958