765.25 is what percent of 3471 - 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 3471 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 3471, so we can write it down as 100%=3471.
4. We know, that x% equals 765.25 of the output value, so we can write it down as x%=765.25.
5. Now we have two simple equations:
1) 100%=3471
2) x%=765.25
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%=3471/765.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 765.25 is what percent of 3471

100%/x%=3471/765.25
(100/x)*x=(3471/765.25)*x       - we multiply both sides of the equation by x
100=4.5357726233257*x       - we divide both sides of the equation by (4.5357726233257) to get x
100/4.5357726233257=x
22.046960530107=x
x=22.046960530107

now we have:
765.25 is 22.046960530107% of 3471