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Solution for 162 is what percent of 946:

162:946*100 =

(162*100):946 =

16200:946 = 17.12

Now we have: 162 is what percent of 946 = 17.12

Question: 162 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\%}={162}.

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

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

{x\%}={162}(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}{162}

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

\frac{x\%}{100\%}=\frac{162}{946}

\Rightarrow{x} = {17.12\%}

Therefore, {162} is {17.12\%} of {946}.

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Solution for 946 is what percent of 162:

946:162*100 =

(946*100):162 =

94600:162 = 583.95

Now we have: 946 is what percent of 162 = 583.95

Question: 946 is what percent of 162?

Percentage solution with steps:

Step 1: We make the assumption that 162 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\%}={162}.

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

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

{100\%}={162}(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{162}{946}

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

\frac{x\%}{100\%}=\frac{946}{162}

\Rightarrow{x} = {583.95\%}

Therefore, {946} is {583.95\%} of {162}.