What is 20.7 percent of 829 - 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 829 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 829 is 100%, so we can write it down as 829=100%.
4. We know, that x is 20.7% of the output value, so we can write it down as x=20.7%.
5. Now we have two simple equations:
1) 829=100%
2) x=20.7%
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:
829/x=100%/20.7%
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 20.7% of 829

829/x=100/20.7
(829/x)*x=(100/20.7)*x       - we multiply both sides of the equation by x
829=4.8309178743961*x       - we divide both sides of the equation by (4.8309178743961) to get x
829/4.8309178743961=x
171.603=x
x=171.603

now we have:
20.7% of 829=171.603