6.57 is what percent of 7 - 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 7 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 7, so we can write it down as 100%=7.
4. We know, that x% equals 6.57 of the output value, so we can write it down as x%=6.57.
5. Now we have two simple equations:
1) 100%=7
2) x%=6.57
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%=7/6.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.57 is what percent of 7

100%/x%=7/6.57
(100/x)*x=(7/6.57)*x       - we multiply both sides of the equation by x
100=1.0654490106545*x       - we divide both sides of the equation by (1.0654490106545) to get x
100/1.0654490106545=x
93.857142857143=x
x=93.857142857143

now we have:
6.57 is 93.857142857143% of 7