9.58 is what percent of 1064.25 - 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 1064.25 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 1064.25, so we can write it down as 100%=1064.25.
4. We know, that x% equals 9.58 of the output value, so we can write it down as x%=9.58.
5. Now we have two simple equations:
1) 100%=1064.25
2) x%=9.58
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%=1064.25/9.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.58 is what percent of 1064.25

100%/x%=1064.25/9.58
(100/x)*x=(1064.25/9.58)*x       - we multiply both sides of the equation by x
100=111.09081419624*x       - we divide both sides of the equation by (111.09081419624) to get x
100/111.09081419624=x
0.90016443504816=x
x=0.90016443504816

now we have:
9.58 is 0.90016443504816% of 1064.25