383.68 is what percent of 401.68 - 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 401.68 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 401.68, so we can write it down as 100%=401.68.
4. We know, that x% equals 383.68 of the output value, so we can write it down as x%=383.68.
5. Now we have two simple equations:
1) 100%=401.68
2) x%=383.68
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%=401.68/383.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 383.68 is what percent of 401.68

100%/x%=401.68/383.68
(100/x)*x=(401.68/383.68)*x       - we multiply both sides of the equation by x
100=1.0469140950792*x       - we divide both sides of the equation by (1.0469140950792) to get x
100/1.0469140950792=x
95.518820952002=x
x=95.518820952002

now we have:
383.68 is 95.518820952002% of 401.68