78.39 is what percent of 443.23 - 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 443.23 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 443.23, so we can write it down as 100%=443.23.
4. We know, that x% equals 78.39 of the output value, so we can write it down as x%=78.39.
5. Now we have two simple equations:
1) 100%=443.23
2) x%=78.39
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%=443.23/78.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.39 is what percent of 443.23

100%/x%=443.23/78.39
(100/x)*x=(443.23/78.39)*x       - we multiply both sides of the equation by x
100=5.6541650720755*x       - we divide both sides of the equation by (5.6541650720755) to get x
100/5.6541650720755=x
17.686077205965=x
x=17.686077205965

now we have:
78.39 is 17.686077205965% of 443.23