#### Solution for 68.4 is what percent of 152:

68.4:152*100 =

(68.4*100):152 =

6840:152 = 45

Now we have: 68.4 is what percent of 152 = 45

Question: 68.4 is what percent of 152?

Percentage solution with steps:

Step 1: We make the assumption that 152 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\%}={152}.

Step 4: In the same vein, {x\%}={68.4}.

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

{100\%}={152}(1).

{x\%}={68.4}(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{152}{68.4}

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

\frac{x\%}{100\%}=\frac{68.4}{152}

\Rightarrow{x} = {45\%}

Therefore, {68.4} is {45\%} of {152}.

#### Solution for 152 is what percent of 68.4:

152:68.4*100 =

(152*100):68.4 =

15200:68.4 = 222.22222222222

Now we have: 152 is what percent of 68.4 = 222.22222222222

Question: 152 is what percent of 68.4?

Percentage solution with steps:

Step 1: We make the assumption that 68.4 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\%}={68.4}.

Step 4: In the same vein, {x\%}={152}.

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

{100\%}={68.4}(1).

{x\%}={152}(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{68.4}{152}

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

\frac{x\%}{100\%}=\frac{152}{68.4}

\Rightarrow{x} = {222.22222222222\%}

Therefore, {152} is {222.22222222222\%} of {68.4}.

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