What is 71.8 percent of 1640 - 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 1640 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 1640 is 100%, so we can write it down as 1640=100%.
4. We know, that x is 71.8% of the output value, so we can write it down as x=71.8%.
5. Now we have two simple equations:
1) 1640=100%
2) x=71.8%
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:
1640/x=100%/71.8%
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 71.8% of 1640

1640/x=100/71.8
(1640/x)*x=(100/71.8)*x       - we multiply both sides of the equation by x
1640=1.3927576601671*x       - we divide both sides of the equation by (1.3927576601671) to get x
1640/1.3927576601671=x
1177.52=x
x=1177.52

now we have:
71.8% of 1640=1177.52