9.57 is what percent of 9.7 - 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 9.7 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 9.7, so we can write it down as 100%=9.7.
4. We know, that x% equals 9.57 of the output value, so we can write it down as x%=9.57.
5. Now we have two simple equations:
1) 100%=9.7
2) x%=9.57
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%=9.7/9.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.57 is what percent of 9.7

100%/x%=9.7/9.57
(100/x)*x=(9.7/9.57)*x       - we multiply both sides of the equation by x
100=1.0135841170324*x       - we divide both sides of the equation by (1.0135841170324) to get x
100/1.0135841170324=x
98.659793814433=x
x=98.659793814433

now we have:
9.57 is 98.659793814433% of 9.7