341.2 is what percent of 321.2 - 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 321.2 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 321.2, so we can write it down as 100%=321.2.
4. We know, that x% equals 341.2 of the output value, so we can write it down as x%=341.2.
5. Now we have two simple equations:
1) 100%=321.2
2) x%=341.2
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%=321.2/341.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 341.2 is what percent of 321.2

100%/x%=321.2/341.2
(100/x)*x=(321.2/341.2)*x       - we multiply both sides of the equation by x
100=0.94138335287222*x       - we divide both sides of the equation by (0.94138335287222) to get x
100/0.94138335287222=x
106.22665006227=x
x=106.22665006227

now we have:
341.2 is 106.22665006227% of 321.2