765.49 is what percent of 849.47 - 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 849.47 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 849.47, so we can write it down as 100%=849.47.
4. We know, that x% equals 765.49 of the output value, so we can write it down as x%=765.49.
5. Now we have two simple equations:
1) 100%=849.47
2) x%=765.49
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%=849.47/765.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 765.49 is what percent of 849.47

100%/x%=849.47/765.49
(100/x)*x=(849.47/765.49)*x       - we multiply both sides of the equation by x
100=1.1097075076095*x       - we divide both sides of the equation by (1.1097075076095) to get x
100/1.1097075076095=x
90.113835685781=x
x=90.113835685781

now we have:
765.49 is 90.113835685781% of 849.47