6 is what percent of 2225 - 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 2225 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 2225, so we can write it down as 100%=2225.
4. We know, that x% equals 6 of the output value, so we can write it down as x%=6.
5. Now we have two simple equations:
1) 100%=2225
2) x%=6
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%=2225/6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6 is what percent of 2225

100%/x%=2225/6
(100/x)*x=(2225/6)*x       - we multiply both sides of the equation by x
100=370.83333333333*x       - we divide both sides of the equation by (370.83333333333) to get x
100/370.83333333333=x
0.26966292134831=x
x=0.26966292134831

now we have:
6 is 0.26966292134831% of 2225