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Solution for 175 is what percent of 80:

175:80*100 =

(175*100):80 =

17500:80 = 218.75

Now we have: 175 is what percent of 80 = 218.75

Question: 175 is what percent of 80?

Percentage solution with steps:

Step 1: We make the assumption that 80 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\%}={80}.

Step 4: In the same vein, {x\%}={175}.

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

{100\%}={80}(1).

{x\%}={175}(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{80}{175}

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

\frac{x\%}{100\%}=\frac{175}{80}

\Rightarrow{x} = {218.75\%}

Therefore, {175} is {218.75\%} of {80}.

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Solution for 80 is what percent of 175:

80:175*100 =

(80*100):175 =

8000:175 = 45.71

Now we have: 80 is what percent of 175 = 45.71

Question: 80 is what percent of 175?

Percentage solution with steps:

Step 1: We make the assumption that 175 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\%}={175}.

Step 4: In the same vein, {x\%}={80}.

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

{100\%}={175}(1).

{x\%}={80}(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{175}{80}

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

\frac{x\%}{100\%}=\frac{80}{175}

\Rightarrow{x} = {45.71\%}

Therefore, {80} is {45.71\%} of {175}.