What percent is … 50% of 150% of x?

33.33

1. We assume, that the number 150 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 150, so we can write it down as 100%=150.

4. We know, that x% equals 50 of the output value, so we can write it down as x%=50.

5. Now we have two simple equations:

1) 100%=150

2) x%=50

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%=150/50

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

7. Solution for 50 is what percent of 150

100%/x%=150/50

(100/x)*x=(150/50)*x       - we multiply both sides of the equation by x

100=3*x       - we divide both sides of the equation by (3) to get x

100/3=x

33.3333333333=x

x=33.3333333333

(the 3 repeats after the decimal point)

hope this helped :D

add 5 subtract 1

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jeff jeff

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