7 is what percent of 42.6 - 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 42.6 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 42.6, so we can write it down as 100%=42.6.
4. We know, that x% equals 7 of the output value, so we can write it down as x%=7.
5. Now we have two simple equations:
1) 100%=42.6
2) x%=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%=42.6/7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7 is what percent of 42.6

100%/x%=42.6/7
(100/x)*x=(42.6/7)*x       - we multiply both sides of the equation by x
100=6.0857142857143*x       - we divide both sides of the equation by (6.0857142857143) to get x
100/6.0857142857143=x
16.431924882629=x
x=16.431924882629

now we have:
7 is 16.431924882629% of 42.6