69.4 is what percent of 624.6 - 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 624.6 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 624.6, so we can write it down as 100%=624.6.
4. We know, that x% equals 69.4 of the output value, so we can write it down as x%=69.4.
5. Now we have two simple equations:
1) 100%=624.6
2) x%=69.4
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%=624.6/69.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 69.4 is what percent of 624.6

100%/x%=624.6/69.4
(100/x)*x=(624.6/69.4)*x       - we multiply both sides of the equation by x
100=9*x       - we divide both sides of the equation by (9) to get x
100/9=x
11.111111111111=x
x=11.111111111111

now we have:
69.4 is 11.111111111111% of 624.6