# 2/3% of (?) =33 i know this seems like a simple question, but it has me stumped

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The easiest way to solve this is to convert the 2/3 into a decimal.

2/3 = 0.66666 . . . .

You can round this to 0.67

To find a percentage of something, you multiply it by the percentage. The **important **thing to remember is that a percent is a **100th**. So, to find 5 percent of something, you have to multiply by **.05**!! In this case, you will multiply by 0.0067.

The equation for this problem is:

Y

x.0067 = 33

You want to isolate Y on one side of the equal sign. To do that, divide *both sides *by .0067.

Y = 33 / .0067

Y = 4925

CHECK:

4925

x.0067 = 33 ??

close enough -- it equals 32.9975, which would round to 33.

Set out your question/problem as an equation

2/3% of *x* = 33 ………… [Equation 1]

Then follow these 4 simple steps.

**1. Set x = the unknown (or what you term as the ? mark)**

So your [Equation 1] becomes: 2/3*x* = 33 ….. [Equation 2]

**2. Convert 2/3 into %, expressed in decimals, so**

% = (2/3) x 100/1

= 200/3

= 66.66667% (rounded to about 66.7%)

**3. Divide 66.7 by 100 to get % expressed in decimals, so,**

% = 66.7/100

** = **0.667

** ****3. Substitute 0.667 for 2/3 into [Equation 2], and solve for the unknown, x, so**

** ** 2/3*x* = 33

0.667*x* = 33

Isolate x, so divide both sides of equation by 0.667, then

* x* = 33/0.667

* x* = 49.4752 (rounded off to 49.5)

**Therefore, your unknown ( x) is 49.5**

* ***4. Check your answer: Substitute x = 49.5 into either Equation 1 or 2, and check if right hand side (RHS) answer equals to Left Hand Side (LHS), so**

** ** 2/3*x* = 33, where *x* = 49.5

2/3(49.5) = 33

0.667(49.5) = 33

33 = 33

RHS = LHS

**Therefore, your answer x = 49.5 is correct!**

2/3% of (?) =33

all you need to do is set up a proportion:

When they say 2/3 of a number is 33, it means that 33 is a percentage of the x (unknown number), so you set it in a way that has the 33 on top:

`2/3 = 33/x`

cross multiply: (2 by x) and (33 by 3)

2x = 99

divide by 2

`(2x)/2 = 99/2`

x = 49.5

to check:

49.5 / 3 = 16.5

16.5 x 2 =33