440.58 is what percent of 1236.46 - 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 1236.46 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 1236.46, so we can write it down as 100%=1236.46.
4. We know, that x% equals 440.58 of the output value, so we can write it down as x%=440.58.
5. Now we have two simple equations:
1) 100%=1236.46
2) x%=440.58
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%=1236.46/440.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 440.58 is what percent of 1236.46

100%/x%=1236.46/440.58
(100/x)*x=(1236.46/440.58)*x       - we multiply both sides of the equation by x
100=2.8064369694494*x       - we divide both sides of the equation by (2.8064369694494) to get x
100/2.8064369694494=x
35.632369829999=x
x=35.632369829999

now we have:
440.58 is 35.632369829999% of 1236.46