6.7 is what percent of 86 - 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 86 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 86, so we can write it down as 100%=86.
4. We know, that x% equals 6.7 of the output value, so we can write it down as x%=6.7.
5. Now we have two simple equations:
1) 100%=86
2) x%=6.7
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%=86/6.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.7 is what percent of 86

100%/x%=86/6.7
(100/x)*x=(86/6.7)*x       - we multiply both sides of the equation by x
100=12.835820895522*x       - we divide both sides of the equation by (12.835820895522) to get x
100/12.835820895522=x
7.7906976744186=x
x=7.7906976744186

now we have:
6.7 is 7.7906976744186% of 86