23 is what 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 100% equals 829, so we can write it down as 100%=829.
4. We know, that x% equals 23 of the output value, so we can write it down as x%=23.
5. Now we have two simple equations:
1) 100%=829
2) x%=23
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:
100%/x%=829/23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23 is what percent of 829

100%/x%=829/23
(100/x)*x=(829/23)*x       - we multiply both sides of the equation by x
100=36.04347826087*x       - we divide both sides of the equation by (36.04347826087) to get x
100/36.04347826087=x
2.7744270205066=x
x=2.7744270205066

now we have:
23 is 2.7744270205066% of 829