3.98 is what percent of 30.67 - 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 30.67 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 30.67, so we can write it down as 100%=30.67.
4. We know, that x% equals 3.98 of the output value, so we can write it down as x%=3.98.
5. Now we have two simple equations:
1) 100%=30.67
2) x%=3.98
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%=30.67/3.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.98 is what percent of 30.67

100%/x%=30.67/3.98
(100/x)*x=(30.67/3.98)*x       - we multiply both sides of the equation by x
100=7.7060301507538*x       - we divide both sides of the equation by (7.7060301507538) to get x
100/7.7060301507538=x
12.976850342354=x
x=12.976850342354

now we have:
3.98 is 12.976850342354% of 30.67