678.6 is what percent of 628.3 - 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 628.3 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 628.3, so we can write it down as 100%=628.3.
4. We know, that x% equals 678.6 of the output value, so we can write it down as x%=678.6.
5. Now we have two simple equations:
1) 100%=628.3
2) x%=678.6
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%=628.3/678.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 678.6 is what percent of 628.3

100%/x%=628.3/678.6
(100/x)*x=(628.3/678.6)*x       - we multiply both sides of the equation by x
100=0.92587680518715*x       - we divide both sides of the equation by (0.92587680518715) to get x
100/0.92587680518715=x
108.00572974694=x
x=108.00572974694

now we have:
678.6 is 108.00572974694% of 628.3