9.76 is what percent of 9.67 - 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 9.67 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 9.67, so we can write it down as 100%=9.67.
4. We know, that x% equals 9.76 of the output value, so we can write it down as x%=9.76.
5. Now we have two simple equations:
1) 100%=9.67
2) x%=9.76
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%=9.67/9.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.76 is what percent of 9.67

100%/x%=9.67/9.76
(100/x)*x=(9.67/9.76)*x       - we multiply both sides of the equation by x
100=0.99077868852459*x       - we divide both sides of the equation by (0.99077868852459) to get x
100/0.99077868852459=x
100.93071354705=x
x=100.93071354705

now we have:
9.76 is 100.93071354705% of 9.67