398.52 is what percent of 321.96 - 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 321.96 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 321.96, so we can write it down as 100%=321.96.
4. We know, that x% equals 398.52 of the output value, so we can write it down as x%=398.52.
5. Now we have two simple equations:
1) 100%=321.96
2) x%=398.52
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%=321.96/398.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 398.52 is what percent of 321.96

100%/x%=321.96/398.52
(100/x)*x=(321.96/398.52)*x       - we multiply both sides of the equation by x
100=0.80788919000301*x       - we divide both sides of the equation by (0.80788919000301) to get x
100/0.80788919000301=x
123.77935147223=x
x=123.77935147223

now we have:
398.52 is 123.77935147223% of 321.96