70 is what percent of 6829 - 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 6829 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 6829, so we can write it down as 100%=6829.
4. We know, that x% equals 70 of the output value, so we can write it down as x%=70.
5. Now we have two simple equations:
1) 100%=6829
2) x%=70
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%=6829/70
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70 is what percent of 6829

100%/x%=6829/70
(100/x)*x=(6829/70)*x       - we multiply both sides of the equation by x
100=97.557142857143*x       - we divide both sides of the equation by (97.557142857143) to get x
100/97.557142857143=x
1.0250402694392=x
x=1.0250402694392

now we have:
70 is 1.0250402694392% of 6829