What is 77.4 percent of 644 - 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 644 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 644 is 100%, so we can write it down as 644=100%.
4. We know, that x is 77.4% of the output value, so we can write it down as x=77.4%.
5. Now we have two simple equations:
1) 644=100%
2) x=77.4%
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:
644/x=100%/77.4%
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 77.4% of 644

644/x=100/77.4
(644/x)*x=(100/77.4)*x       - we multiply both sides of the equation by x
644=1.2919896640827*x       - we divide both sides of the equation by (1.2919896640827) to get x
644/1.2919896640827=x
498.456=x
x=498.456

now we have:
77.4% of 644=498.456