6.57 is what percent of 35.56 - 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 35.56 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 35.56, so we can write it down as 100%=35.56.
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%=35.56
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%=35.56/6.57
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 35.56

100%/x%=35.56/6.57
(100/x)*x=(35.56/6.57)*x       - we multiply both sides of the equation by x
100=5.4124809741248*x       - we divide both sides of the equation by (5.4124809741248) to get x
100/5.4124809741248=x
18.47581552306=x
x=18.47581552306

now we have:
6.57 is 18.47581552306% of 35.56