What is 117 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 117% of the output value, so we can write it down as x=117%.
5. Now we have two simple equations:
1) 829=100%
2) x=117%
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%/117%
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 117% of 829

829/x=100/117
(829/x)*x=(100/117)*x       - we multiply both sides of the equation by x
829=0.85470085470085*x       - we divide both sides of the equation by (0.85470085470085) to get x
829/0.85470085470085=x
969.93=x
x=969.93

now we have:
117% of 829=969.93