484.75 is what percent of 684.19 - 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 684.19 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 684.19, so we can write it down as 100%=684.19.
4. We know, that x% equals 484.75 of the output value, so we can write it down as x%=484.75.
5. Now we have two simple equations:
1) 100%=684.19
2) x%=484.75
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%=684.19/484.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 484.75 is what percent of 684.19

100%/x%=684.19/484.75
(100/x)*x=(684.19/484.75)*x       - we multiply both sides of the equation by x
100=1.4114285714286*x       - we divide both sides of the equation by (1.4114285714286) to get x
100/1.4114285714286=x
70.85020242915=x
x=70.85020242915

now we have:
484.75 is 70.85020242915% of 684.19