377.5 is what percent of 440 - 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 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, so we can write it down as 100%=440.
4. We know, that x% equals 377.5 of the output value, so we can write it down as x%=377.5.
5. Now we have two simple equations:
1) 100%=440
2) x%=377.5
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%=440/377.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 377.5 is what percent of 440

100%/x%=440/377.5
(100/x)*x=(440/377.5)*x       - we multiply both sides of the equation by x
100=1.1655629139073*x       - we divide both sides of the equation by (1.1655629139073) to get x
100/1.1655629139073=x
85.795454545455=x
x=85.795454545455

now we have:
377.5 is 85.795454545455% of 440