6.12 is what percent of 79.99 - 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 79.99 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 79.99, so we can write it down as 100%=79.99.
4. We know, that x% equals 6.12 of the output value, so we can write it down as x%=6.12.
5. Now we have two simple equations:
1) 100%=79.99
2) x%=6.12
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%=79.99/6.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.12 is what percent of 79.99

100%/x%=79.99/6.12
(100/x)*x=(79.99/6.12)*x       - we multiply both sides of the equation by x
100=13.070261437908*x       - we divide both sides of the equation by (13.070261437908) to get x
100/13.070261437908=x
7.6509563695462=x
x=7.6509563695462

now we have:
6.12 is 7.6509563695462% of 79.99