69.4 is what percent of 314.4 - 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 314.4 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 314.4, so we can write it down as 100%=314.4.
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%=314.4
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%=314.4/69.4
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 314.4

100%/x%=314.4/69.4
(100/x)*x=(314.4/69.4)*x       - we multiply both sides of the equation by x
100=4.5302593659942*x       - we divide both sides of the equation by (4.5302593659942) to get x
100/4.5302593659942=x
22.073791348601=x
x=22.073791348601

now we have:
69.4 is 22.073791348601% of 314.4