#### Solution for 946 is what percent of 1500:

946:1500*100 =

(946*100):1500 =

94600:1500 = 63.07

Now we have: 946 is what percent of 1500 = 63.07

Question: 946 is what percent of 1500?

Percentage solution with steps:

Step 1: We make the assumption that 1500 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={1500}.

Step 4: In the same vein, {x\%}={946}.

Step 5: This gives us a pair of simple equations:

{100\%}={1500}(1).

{x\%}={946}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{1500}{946}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{946}{1500}

\Rightarrow{x} = {63.07\%}

Therefore, {946} is {63.07\%} of {1500}.

#### Solution for 1500 is what percent of 946:

1500:946*100 =

(1500*100):946 =

150000:946 = 158.56

Now we have: 1500 is what percent of 946 = 158.56

Question: 1500 is what percent of 946?

Percentage solution with steps:

Step 1: We make the assumption that 946 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={946}.

Step 4: In the same vein, {x\%}={1500}.

Step 5: This gives us a pair of simple equations:

{100\%}={946}(1).

{x\%}={1500}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{946}{1500}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{1500}{946}

\Rightarrow{x} = {158.56\%}

Therefore, {1500} is {158.56\%} of {946}.

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