What is 84.08 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 75.67 is 100%, so we can write it down as 75.67=100%.
4. We know, that x is 84.08% of the output value, so we can write it down as x=84.08%.
5. Now we have two simple equations:
1) 75.67=100%
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:
75.67/x=100%/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 what is 84.08% of 75.67

75.67/x=100/84.08
(75.67/x)*x=(100/84.08)*x       - we multiply both sides of the equation by x
75.67=1.1893434823977*x       - we divide both sides of the equation by (1.1893434823977) to get x
75.67/1.1893434823977=x
63.623336=x
x=63.623336

now we have:
84.08% of 75.67=63.623336