654.81 is what percent of 839.5 - 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 839.5 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 839.5, so we can write it down as 100%=839.5.
4. We know, that x% equals 654.81 of the output value, so we can write it down as x%=654.81.
5. Now we have two simple equations:
1) 100%=839.5
2) x%=654.81
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%=839.5/654.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 654.81 is what percent of 839.5

100%/x%=839.5/654.81
(100/x)*x=(839.5/654.81)*x       - we multiply both sides of the equation by x
100=1.2820512820513*x       - we divide both sides of the equation by (1.2820512820513) to get x
100/1.2820512820513=x
78=x
x=78

now we have:
654.81 is 78% of 839.5