49.5 is what percent of 30?

165 %

Step-by-step explanation:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 30 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, so we can write it down as 100%=30.

4. We know, that x% equals 49.5 of the output value, so we can write it down as x%=49.5.

5. Now we have two simple equations:

1) 100%=30

2) x%=49.5

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%=30/49.5

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.5 is what percent of 30

100%/x%=30/49.5

(100/x)*x=(30/49.5)*x - we multiply both sides of the equation by x

100=0.60606060606061*x - we divide both sides of the equation by (0.60606060606061) to get x

100/0.60606060606061=x

165=x

x=165

now we have:

49.5 is 165% of 30

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step-by-step explanation: