93.67 is what percent of 84.01 - 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 84.01 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 84.01, so we can write it down as 100%=84.01.
4. We know, that x% equals 93.67 of the output value, so we can write it down as x%=93.67.
5. Now we have two simple equations:
1) 100%=84.01
2) x%=93.67
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%=84.01/93.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 93.67 is what percent of 84.01

100%/x%=84.01/93.67
(100/x)*x=(84.01/93.67)*x       - we multiply both sides of the equation by x
100=0.89687199743781*x       - we divide both sides of the equation by (0.89687199743781) to get x
100/0.89687199743781=x
111.49863111534=x
x=111.49863111534

now we have:
93.67 is 111.49863111534% of 84.01