442.31 is what percent of 492 - 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 492 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 492, so we can write it down as 100%=492.
4. We know, that x% equals 442.31 of the output value, so we can write it down as x%=442.31.
5. Now we have two simple equations:
1) 100%=492
2) x%=442.31
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%=492/442.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 442.31 is what percent of 492

100%/x%=492/442.31
(100/x)*x=(492/442.31)*x       - we multiply both sides of the equation by x
100=1.1123420225634*x       - we divide both sides of the equation by (1.1123420225634) to get x
100/1.1123420225634=x
89.900406504065=x
x=89.900406504065

now we have:
442.31 is 89.900406504065% of 492