#### Solution for 177 is what percent of 178:

177:178*100 =

(177*100):178 =

17700:178 = 99.44

Now we have: 177 is what percent of 178 = 99.44

Question: 177 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\%}={177}.

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

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

{x\%}={177}(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}{177}

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

\frac{x\%}{100\%}=\frac{177}{178}

\Rightarrow{x} = {99.44\%}

Therefore, {177} is {99.44\%} of {178}.

#### Solution for 178 is what percent of 177:

178:177*100 =

(178*100):177 =

17800:177 = 100.56

Now we have: 178 is what percent of 177 = 100.56

Question: 178 is what percent of 177?

Percentage solution with steps:

Step 1: We make the assumption that 177 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\%}={177}.

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

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

{100\%}={177}(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{177}{178}

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

\frac{x\%}{100\%}=\frac{178}{177}

\Rightarrow{x} = {100.56\%}

Therefore, {178} is {100.56\%} of {177}.

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