546.75 is what percent of 685 - 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 685 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 685, so we can write it down as 100%=685.
4. We know, that x% equals 546.75 of the output value, so we can write it down as x%=546.75.
5. Now we have two simple equations:
1) 100%=685
2) x%=546.75
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%=685/546.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 546.75 is what percent of 685

100%/x%=685/546.75
(100/x)*x=(685/546.75)*x       - we multiply both sides of the equation by x
100=1.2528577960677*x       - we divide both sides of the equation by (1.2528577960677) to get x
100/1.2528577960677=x
79.817518248175=x
x=79.817518248175

now we have:
546.75 is 79.817518248175% of 685