70 is what percent of 1091 - 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 1091 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 1091, so we can write it down as 100%=1091.
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%=1091
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%=1091/70
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 1091

100%/x%=1091/70
(100/x)*x=(1091/70)*x       - we multiply both sides of the equation by x
100=15.585714285714*x       - we divide both sides of the equation by (15.585714285714) to get x
100/15.585714285714=x
6.4161319890009=x
x=6.4161319890009

now we have:
70 is 6.4161319890009% of 1091