29.75 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 29.75 of the output value, so we can write it down as x%=29.75.
5. Now we have two simple equations:
1) 100%=7
2) x%=29.75
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%=7/29.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.75 is what percent of 7

100%/x%=7/29.75
(100/x)*x=(7/29.75)*x       - we multiply both sides of the equation by x
100=0.23529411764706*x       - we divide both sides of the equation by (0.23529411764706) to get x
100/0.23529411764706=x
425=x
x=425

now we have:
29.75 is 425% of 7