30 is what percent of 79.98 - 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 79.98 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 79.98, so we can write it down as 100%=79.98.
4. We know, that x% equals 30 of the output value, so we can write it down as x%=30.
5. Now we have two simple equations:
1) 100%=79.98
2) x%=30
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%=79.98/30
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30 is what percent of 79.98

100%/x%=79.98/30
(100/x)*x=(79.98/30)*x       - we multiply both sides of the equation by x
100=2.666*x       - we divide both sides of the equation by (2.666) to get x
100/2.666=x
37.509377344336=x
x=37.509377344336

now we have:
30 is 37.509377344336% of 79.98