What is 42.682 percent of 1829 - 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 1829 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 1829 is 100%, so we can write it down as 1829=100%.
4. We know, that x is 42.682% of the output value, so we can write it down as x=42.682%.
5. Now we have two simple equations:
1) 1829=100%
2) x=42.682%
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:
1829/x=100%/42.682%
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 42.682% of 1829

1829/x=100/42.682
(1829/x)*x=(100/42.682)*x       - we multiply both sides of the equation by x
1829=2.3429080174312*x       - we divide both sides of the equation by (2.3429080174312) to get x
1829/2.3429080174312=x
780.65378=x
x=780.65378

now we have:
42.682% of 1829=780.65378