374.08 is what percent of 440.09 - 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 440.09 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 440.09, so we can write it down as 100%=440.09.
4. We know, that x% equals 374.08 of the output value, so we can write it down as x%=374.08.
5. Now we have two simple equations:
1) 100%=440.09
2) x%=374.08
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%=440.09/374.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 374.08 is what percent of 440.09

100%/x%=440.09/374.08
(100/x)*x=(440.09/374.08)*x       - we multiply both sides of the equation by x
100=1.1764595808383*x       - we divide both sides of the equation by (1.1764595808383) to get x
100/1.1764595808383=x
85.000795291872=x
x=85.000795291872

now we have:
374.08 is 85.000795291872% of 440.09