69.91 is what percent of 338.72 - 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 338.72 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 338.72, so we can write it down as 100%=338.72.
4. We know, that x% equals 69.91 of the output value, so we can write it down as x%=69.91.
5. Now we have two simple equations:
1) 100%=338.72
2) x%=69.91
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%=338.72/69.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 69.91 is what percent of 338.72

100%/x%=338.72/69.91
(100/x)*x=(338.72/69.91)*x       - we multiply both sides of the equation by x
100=4.8450865398369*x       - we divide both sides of the equation by (4.8450865398369) to get x
100/4.8450865398369=x
20.639466225791=x
x=20.639466225791

now we have:
69.91 is 20.639466225791% of 338.72