#### Solution for 212 is what percent of 400:

212:400*100 =

(212*100):400 =

21200:400 = 53

Now we have: 212 is what percent of 400 = 53

Question: 212 is what percent of 400?

Percentage solution with steps:

Step 1: We make the assumption that 400 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\%}={400}.

Step 4: In the same vein, {x\%}={212}.

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

{100\%}={400}(1).

{x\%}={212}(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{400}{212}

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

\frac{x\%}{100\%}=\frac{212}{400}

\Rightarrow{x} = {53\%}

Therefore, {212} is {53\%} of {400}.

#### Solution for 400 is what percent of 212:

400:212*100 =

(400*100):212 =

40000:212 = 188.68

Now we have: 400 is what percent of 212 = 188.68

Question: 400 is what percent of 212?

Percentage solution with steps:

Step 1: We make the assumption that 212 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\%}={212}.

Step 4: In the same vein, {x\%}={400}.

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

{100\%}={212}(1).

{x\%}={400}(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{212}{400}

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

\frac{x\%}{100\%}=\frac{400}{212}

\Rightarrow{x} = {188.68\%}

Therefore, {400} is {188.68\%} of {212}.

Calculation Samples