369.42 is what percent of 444.69 - 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 444.69 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 444.69, so we can write it down as 100%=444.69.
4. We know, that x% equals 369.42 of the output value, so we can write it down as x%=369.42.
5. Now we have two simple equations:
1) 100%=444.69
2) x%=369.42
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%=444.69/369.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 369.42 is what percent of 444.69

100%/x%=444.69/369.42
(100/x)*x=(444.69/369.42)*x       - we multiply both sides of the equation by x
100=1.2037518271886*x       - we divide both sides of the equation by (1.2037518271886) to get x
100/1.2037518271886=x
83.073601834986=x
x=83.073601834986

now we have:
369.42 is 83.073601834986% of 444.69