93.5 is what percent of 101 - 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 101 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 101, so we can write it down as 100%=101.
4. We know, that x% equals 93.5 of the output value, so we can write it down as x%=93.5.
5. Now we have two simple equations:
1) 100%=101
2) x%=93.5
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%=101/93.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 93.5 is what percent of 101

100%/x%=101/93.5
(100/x)*x=(101/93.5)*x       - we multiply both sides of the equation by x
100=1.0802139037433*x       - we divide both sides of the equation by (1.0802139037433) to get x
100/1.0802139037433=x
92.574257425743=x
x=92.574257425743

now we have:
93.5 is 92.574257425743% of 101