71.85 is what percent of 396.45 - 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 396.45 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 396.45, so we can write it down as 100%=396.45.
4. We know, that x% equals 71.85 of the output value, so we can write it down as x%=71.85.
5. Now we have two simple equations:
1) 100%=396.45
2) x%=71.85
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%=396.45/71.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71.85 is what percent of 396.45

100%/x%=396.45/71.85
(100/x)*x=(396.45/71.85)*x       - we multiply both sides of the equation by x
100=5.517745302714*x       - we divide both sides of the equation by (5.517745302714) to get x
100/5.517745302714=x
18.123344684071=x
x=18.123344684071

now we have:
71.85 is 18.123344684071% of 396.45