84.08 is what percent of 75.67 - 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 75.67 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 75.67, so we can write it down as 100%=75.67.
4. We know, that x% equals 84.08 of the output value, so we can write it down as x%=84.08.
5. Now we have two simple equations:
1) 100%=75.67
2) x%=84.08
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%=75.67/84.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.08 is what percent of 75.67

100%/x%=75.67/84.08
(100/x)*x=(75.67/84.08)*x       - we multiply both sides of the equation by x
100=0.89997621313035*x       - we divide both sides of the equation by (0.89997621313035) to get x
100/0.89997621313035=x
111.1140478393=x
x=111.1140478393

now we have:
84.08 is 111.1140478393% of 75.67