9.13 is what percent of 9.3 - 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 9.3 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 9.3, so we can write it down as 100%=9.3.
4. We know, that x% equals 9.13 of the output value, so we can write it down as x%=9.13.
5. Now we have two simple equations:
1) 100%=9.3
2) x%=9.13
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%=9.3/9.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.13 is what percent of 9.3

100%/x%=9.3/9.13
(100/x)*x=(9.3/9.13)*x       - we multiply both sides of the equation by x
100=1.0186199342826*x       - we divide both sides of the equation by (1.0186199342826) to get x
100/1.0186199342826=x
98.172043010753=x
x=98.172043010753

now we have:
9.13 is 98.172043010753% of 9.3