6.94 is what percent of 280.24 - 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 280.24 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 280.24, so we can write it down as 100%=280.24.
4. We know, that x% equals 6.94 of the output value, so we can write it down as x%=6.94.
5. Now we have two simple equations:
1) 100%=280.24
2) x%=6.94
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%=280.24/6.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.94 is what percent of 280.24

100%/x%=280.24/6.94
(100/x)*x=(280.24/6.94)*x       - we multiply both sides of the equation by x
100=40.380403458213*x       - we divide both sides of the equation by (40.380403458213) to get x
100/40.380403458213=x
2.4764487582073=x
x=2.4764487582073

now we have:
6.94 is 2.4764487582073% of 280.24