398.85 is what percent of 439.34 - 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 439.34 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 439.34, so we can write it down as 100%=439.34.
4. We know, that x% equals 398.85 of the output value, so we can write it down as x%=398.85.
5. Now we have two simple equations:
1) 100%=439.34
2) x%=398.85
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%=439.34/398.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 398.85 is what percent of 439.34

100%/x%=439.34/398.85
(100/x)*x=(439.34/398.85)*x       - we multiply both sides of the equation by x
100=1.1015168609753*x       - we divide both sides of the equation by (1.1015168609753) to get x
100/1.1015168609753=x
90.783903127418=x
x=90.783903127418

now we have:
398.85 is 90.783903127418% of 439.34