358.93 is what percent of 395.35 - 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 395.35 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 395.35, so we can write it down as 100%=395.35.
4. We know, that x% equals 358.93 of the output value, so we can write it down as x%=358.93.
5. Now we have two simple equations:
1) 100%=395.35
2) x%=358.93
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%=395.35/358.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 358.93 is what percent of 395.35

100%/x%=395.35/358.93
(100/x)*x=(395.35/358.93)*x       - we multiply both sides of the equation by x
100=1.1014682528627*x       - we divide both sides of the equation by (1.1014682528627) to get x
100/1.1014682528627=x
90.787909447325=x
x=90.787909447325

now we have:
358.93 is 90.787909447325% of 395.35