#### Solution for 146 is what percent of 218:

146:218*100 =

(146*100):218 =

14600:218 = 66.97

Now we have: 146 is what percent of 218 = 66.97

Question: 146 is what percent of 218?

Percentage solution with steps:

Step 1: We make the assumption that 218 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\%}={218}.

Step 4: In the same vein, {x\%}={146}.

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

{100\%}={218}(1).

{x\%}={146}(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{218}{146}

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

\frac{x\%}{100\%}=\frac{146}{218}

\Rightarrow{x} = {66.97\%}

Therefore, {146} is {66.97\%} of {218}.

#### Solution for 218 is what percent of 146:

218:146*100 =

(218*100):146 =

21800:146 = 149.32

Now we have: 218 is what percent of 146 = 149.32

Question: 218 is what percent of 146?

Percentage solution with steps:

Step 1: We make the assumption that 146 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\%}={146}.

Step 4: In the same vein, {x\%}={218}.

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

{100\%}={146}(1).

{x\%}={218}(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{146}{218}

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

\frac{x\%}{100\%}=\frac{218}{146}

\Rightarrow{x} = {149.32\%}

Therefore, {218} is {149.32\%} of {146}.

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