97.05 is what percent of 765 - 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 765 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 765, so we can write it down as 100%=765.
4. We know, that x% equals 97.05 of the output value, so we can write it down as x%=97.05.
5. Now we have two simple equations:
1) 100%=765
2) x%=97.05
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%=765/97.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.05 is what percent of 765

100%/x%=765/97.05
(100/x)*x=(765/97.05)*x       - we multiply both sides of the equation by x
100=7.8825347758887*x       - we divide both sides of the equation by (7.8825347758887) to get x
100/7.8825347758887=x
12.686274509804=x
x=12.686274509804

now we have:
97.05 is 12.686274509804% of 765