10.57 is what percent of 9.76 - 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 9.76 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 9.76, so we can write it down as 100%=9.76.
4. We know, that x% equals 10.57 of the output value, so we can write it down as x%=10.57.
5. Now we have two simple equations:
1) 100%=9.76
2) x%=10.57
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%=9.76/10.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.57 is what percent of 9.76

100%/x%=9.76/10.57
(100/x)*x=(9.76/10.57)*x       - we multiply both sides of the equation by x
100=0.92336802270577*x       - we divide both sides of the equation by (0.92336802270577) to get x
100/0.92336802270577=x
108.29918032787=x
x=108.29918032787

now we have:
10.57 is 108.29918032787% of 9.76