89.42 is what percent of 1442.31 - 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 1442.31 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 1442.31, so we can write it down as 100%=1442.31.
4. We know, that x% equals 89.42 of the output value, so we can write it down as x%=89.42.
5. Now we have two simple equations:
1) 100%=1442.31
2) x%=89.42
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%=1442.31/89.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89.42 is what percent of 1442.31

100%/x%=1442.31/89.42
(100/x)*x=(1442.31/89.42)*x       - we multiply both sides of the equation by x
100=16.129613061955*x       - we divide both sides of the equation by (16.129613061955) to get x
100/16.129613061955=x
6.1997767470239=x
x=6.1997767470239

now we have:
89.42 is 6.1997767470239% of 1442.31