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Solution for 208 is what percent of 312:

208:312*100 =

(208*100):312 =

20800:312 = 66.67

Now we have: 208 is what percent of 312 = 66.67

Question: 208 is what percent of 312?

Percentage solution with steps:

Step 1: We make the assumption that 312 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\%}={312}.

Step 4: In the same vein, {x\%}={208}.

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

{100\%}={312}(1).

{x\%}={208}(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{312}{208}

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

\frac{x\%}{100\%}=\frac{208}{312}

\Rightarrow{x} = {66.67\%}

Therefore, {208} is {66.67\%} of {312}.

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Solution for 312 is what percent of 208:

312:208*100 =

(312*100):208 =

31200:208 = 150

Now we have: 312 is what percent of 208 = 150

Question: 312 is what percent of 208?

Percentage solution with steps:

Step 1: We make the assumption that 208 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\%}={208}.

Step 4: In the same vein, {x\%}={312}.

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

{100\%}={208}(1).

{x\%}={312}(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{208}{312}

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

\frac{x\%}{100\%}=\frac{312}{208}

\Rightarrow{x} = {150\%}

Therefore, {312} is {150\%} of {208}.