1443.85 is what percent of 8442.06 - 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 8442.06 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 8442.06, so we can write it down as 100%=8442.06.
4. We know, that x% equals 1443.85 of the output value, so we can write it down as x%=1443.85.
5. Now we have two simple equations:
1) 100%=8442.06
2) x%=1443.85
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%=8442.06/1443.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1443.85 is what percent of 8442.06

100%/x%=8442.06/1443.85
(100/x)*x=(8442.06/1443.85)*x       - we multiply both sides of the equation by x
100=5.8469093049832*x       - we divide both sides of the equation by (5.8469093049832) to get x
100/5.8469093049832=x
17.103053046294=x
x=17.103053046294

now we have:
1443.85 is 17.103053046294% of 8442.06