#### Solution for 54 is what percent of 84:

54:84*100 =

(54*100):84 =

5400:84 = 64.29

Now we have: 54 is what percent of 84 = 64.29

Question: 54 is what percent of 84?

Percentage solution with steps:

Step 1: We make the assumption that 84 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\%}={84}.

Step 4: In the same vein, {x\%}={54}.

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

{100\%}={84}(1).

{x\%}={54}(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{84}{54}

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

\frac{x\%}{100\%}=\frac{54}{84}

\Rightarrow{x} = {64.29\%}

Therefore, {54} is {64.29\%} of {84}.

#### Solution for 84 is what percent of 54:

84:54*100 =

(84*100):54 =

8400:54 = 155.56

Now we have: 84 is what percent of 54 = 155.56

Question: 84 is what percent of 54?

Percentage solution with steps:

Step 1: We make the assumption that 54 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\%}={54}.

Step 4: In the same vein, {x\%}={84}.

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

{100\%}={54}(1).

{x\%}={84}(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{54}{84}

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

\frac{x\%}{100\%}=\frac{84}{54}

\Rightarrow{x} = {155.56\%}

Therefore, {84} is {155.56\%} of {54}.

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