#### Solution for 2.4 is what percent of 178:

2.4:178*100 =

(2.4*100):178 =

240:178 = 1.3483146067416

Now we have: 2.4 is what percent of 178 = 1.3483146067416

Question: 2.4 is what percent of 178?

Percentage solution with steps:

Step 1: We make the assumption that 178 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\%}={178}.

Step 4: In the same vein, {x\%}={2.4}.

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

{100\%}={178}(1).

{x\%}={2.4}(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{178}{2.4}

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

\frac{x\%}{100\%}=\frac{2.4}{178}

\Rightarrow{x} = {1.3483146067416\%}

Therefore, {2.4} is {1.3483146067416\%} of {178}.

#### Solution for 178 is what percent of 2.4:

178:2.4*100 =

(178*100):2.4 =

17800:2.4 = 7416.6666666667

Now we have: 178 is what percent of 2.4 = 7416.6666666667

Question: 178 is what percent of 2.4?

Percentage solution with steps:

Step 1: We make the assumption that 2.4 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\%}={2.4}.

Step 4: In the same vein, {x\%}={178}.

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

{100\%}={2.4}(1).

{x\%}={178}(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{2.4}{178}

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

\frac{x\%}{100\%}=\frac{178}{2.4}

\Rightarrow{x} = {7416.6666666667\%}

Therefore, {178} is {7416.6666666667\%} of {2.4}.

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