40.53 is what percent of 292.73 - 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 292.73 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 292.73, so we can write it down as 100%=292.73.
4. We know, that x% equals 40.53 of the output value, so we can write it down as x%=40.53.
5. Now we have two simple equations:
1) 100%=292.73
2) x%=40.53
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%=292.73/40.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.53 is what percent of 292.73

100%/x%=292.73/40.53
(100/x)*x=(292.73/40.53)*x       - we multiply both sides of the equation by x
100=7.2225511966445*x       - we divide both sides of the equation by (7.2225511966445) to get x
100/7.2225511966445=x
13.845523178355=x
x=13.845523178355

now we have:
40.53 is 13.845523178355% of 292.73