669.7 is what percent of 630 - 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 630 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 630, so we can write it down as 100%=630.
4. We know, that x% equals 669.7 of the output value, so we can write it down as x%=669.7.
5. Now we have two simple equations:
1) 100%=630
2) x%=669.7
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%=630/669.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 669.7 is what percent of 630

100%/x%=630/669.7
(100/x)*x=(630/669.7)*x       - we multiply both sides of the equation by x
100=0.94071972525011*x       - we divide both sides of the equation by (0.94071972525011) to get x
100/0.94071972525011=x
106.30158730159=x
x=106.30158730159

now we have:
669.7 is 106.30158730159% of 630