92.3 is what percent of 494.3 - 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 494.3 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 494.3, so we can write it down as 100%=494.3.
4. We know, that x% equals 92.3 of the output value, so we can write it down as x%=92.3.
5. Now we have two simple equations:
1) 100%=494.3
2) x%=92.3
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%=494.3/92.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 92.3 is what percent of 494.3

100%/x%=494.3/92.3
(100/x)*x=(494.3/92.3)*x       - we multiply both sides of the equation by x
100=5.3553629469122*x       - we divide both sides of the equation by (5.3553629469122) to get x
100/5.3553629469122=x
18.67287072628=x
x=18.67287072628

now we have:
92.3 is 18.67287072628% of 494.3