6.91 is what percent of 79.96 - 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 79.96 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 79.96, so we can write it down as 100%=79.96.
4. We know, that x% equals 6.91 of the output value, so we can write it down as x%=6.91.
5. Now we have two simple equations:
1) 100%=79.96
2) x%=6.91
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%=79.96/6.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.91 is what percent of 79.96

100%/x%=79.96/6.91
(100/x)*x=(79.96/6.91)*x       - we multiply both sides of the equation by x
100=11.571635311143*x       - we divide both sides of the equation by (11.571635311143) to get x
100/11.571635311143=x
8.6418209104552=x
x=8.6418209104552

now we have:
6.91 is 8.6418209104552% of 79.96