673.8 is what percent of 626.7 - 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 626.7 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 626.7, so we can write it down as 100%=626.7.
4. We know, that x% equals 673.8 of the output value, so we can write it down as x%=673.8.
5. Now we have two simple equations:
1) 100%=626.7
2) x%=673.8
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%=626.7/673.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 673.8 is what percent of 626.7

100%/x%=626.7/673.8
(100/x)*x=(626.7/673.8)*x       - we multiply both sides of the equation by x
100=0.93009795191451*x       - we divide both sides of the equation by (0.93009795191451) to get x
100/0.93009795191451=x
107.5155576831=x
x=107.5155576831

now we have:
673.8 is 107.5155576831% of 626.7