93.77 is what percent of 104.98 - 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 104.98 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 104.98, so we can write it down as 100%=104.98.
4. We know, that x% equals 93.77 of the output value, so we can write it down as x%=93.77.
5. Now we have two simple equations:
1) 100%=104.98
2) x%=93.77
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%=104.98/93.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 93.77 is what percent of 104.98

100%/x%=104.98/93.77
(100/x)*x=(104.98/93.77)*x       - we multiply both sides of the equation by x
100=1.1195478297963*x       - we divide both sides of the equation by (1.1195478297963) to get x
100/1.1195478297963=x
89.3217755763=x
x=89.3217755763

now we have:
93.77 is 89.3217755763% of 104.98