0.69 is what percent of 3.97 - 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 3.97 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 3.97, so we can write it down as 100%=3.97.
4. We know, that x% equals 0.69 of the output value, so we can write it down as x%=0.69.
5. Now we have two simple equations:
1) 100%=3.97
2) x%=0.69
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%=3.97/0.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.69 is what percent of 3.97

100%/x%=3.97/0.69
(100/x)*x=(3.97/0.69)*x       - we multiply both sides of the equation by x
100=5.7536231884058*x       - we divide both sides of the equation by (5.7536231884058) to get x
100/5.7536231884058=x
17.380352644836=x
x=17.380352644836

now we have:
0.69 is 17.380352644836% of 3.97