6.97 is what percent of 3100 - 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 3100 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 3100, so we can write it down as 100%=3100.
4. We know, that x% equals 6.97 of the output value, so we can write it down as x%=6.97.
5. Now we have two simple equations:
1) 100%=3100
2) x%=6.97
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%=3100/6.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.97 is what percent of 3100

100%/x%=3100/6.97
(100/x)*x=(3100/6.97)*x       - we multiply both sides of the equation by x
100=444.76327116212*x       - we divide both sides of the equation by (444.76327116212) to get x
100/444.76327116212=x
0.22483870967742=x
x=0.22483870967742

now we have:
6.97 is 0.22483870967742% of 3100