93.29 is what percent of 104.64 - 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 104.64 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 104.64, so we can write it down as 100%=104.64.
4. We know, that x% equals 93.29 of the output value, so we can write it down as x%=93.29.
5. Now we have two simple equations:
1) 100%=104.64
2) x%=93.29
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%=104.64/93.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 93.29 is what percent of 104.64

100%/x%=104.64/93.29
(100/x)*x=(104.64/93.29)*x       - we multiply both sides of the equation by x
100=1.1216636295423*x       - we divide both sides of the equation by (1.1216636295423) to get x
100/1.1216636295423=x
89.153287461774=x
x=89.153287461774

now we have:
93.29 is 89.153287461774% of 104.64