365.21 is what percent of 379.53 - 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 379.53 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 379.53, so we can write it down as 100%=379.53.
4. We know, that x% equals 365.21 of the output value, so we can write it down as x%=365.21.
5. Now we have two simple equations:
1) 100%=379.53
2) x%=365.21
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%=379.53/365.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 365.21 is what percent of 379.53

100%/x%=379.53/365.21
(100/x)*x=(379.53/365.21)*x       - we multiply both sides of the equation by x
100=1.0392103173517*x       - we divide both sides of the equation by (1.0392103173517) to get x
100/1.0392103173517=x
96.226912233552=x
x=96.226912233552

now we have:
365.21 is 96.226912233552% of 379.53