What is 83.4 percent of 755 - 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 755 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 755 is 100%, so we can write it down as 755=100%.
4. We know, that x is 83.4% of the output value, so we can write it down as x=83.4%.
5. Now we have two simple equations:
1) 755=100%
2) x=83.4%
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:
755/x=100%/83.4%
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 83.4% of 755

755/x=100/83.4
(755/x)*x=(100/83.4)*x       - we multiply both sides of the equation by x
755=1.1990407673861*x       - we divide both sides of the equation by (1.1990407673861) to get x
755/1.1990407673861=x
629.67=x
x=629.67

now we have:
83.4% of 755=629.67