6.86 is what percent of 56.84 - 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 56.84 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 56.84, so we can write it down as 100%=56.84.
4. We know, that x% equals 6.86 of the output value, so we can write it down as x%=6.86.
5. Now we have two simple equations:
1) 100%=56.84
2) x%=6.86
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%=56.84/6.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.86 is what percent of 56.84

100%/x%=56.84/6.86
(100/x)*x=(56.84/6.86)*x       - we multiply both sides of the equation by x
100=8.2857142857143*x       - we divide both sides of the equation by (8.2857142857143) to get x
100/8.2857142857143=x
12.068965517241=x
x=12.068965517241

now we have:
6.86 is 12.068965517241% of 56.84