678.43 is what percent of 658.67 - 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 658.67 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 658.67, so we can write it down as 100%=658.67.
4. We know, that x% equals 678.43 of the output value, so we can write it down as x%=678.43.
5. Now we have two simple equations:
1) 100%=658.67
2) x%=678.43
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%=658.67/678.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 678.43 is what percent of 658.67

100%/x%=658.67/678.43
(100/x)*x=(658.67/678.43)*x       - we multiply both sides of the equation by x
100=0.97087392951373*x       - we divide both sides of the equation by (0.97087392951373) to get x
100/0.97087392951373=x
102.99998481789=x
x=102.99998481789

now we have:
678.43 is 102.99998481789% of 658.67