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30%=500 what is 100%

 Oct 17, 2014

Best Answer 

 #3
avatar
+5

You can also use a unitary approach.

First calculate what 1% would be worth if 30% is 500. To do this, divide 500 by 30.

$${\frac{{\mathtt{500}}}{{\mathtt{30}}}} = {\frac{{\mathtt{50}}}{{\mathtt{3}}}} = {\mathtt{16.666\: \!666\: \!666\: \!666\: \!666\: \!7}}$$

Then calculate what 100% is worth. To do this, multiply the 1% value by 100.

$${\frac{{\mathtt{50}}}{{\mathtt{3}}}}{\mathtt{\,\times\,}}{\mathtt{100}} = {\frac{{\mathtt{5\,000}}}{{\mathtt{3}}}} = {\mathtt{1\,666.666\: \!666\: \!666\: \!666\: \!666\: \!7}}$$

Rounded off to the nearest whole number, this is 1667.

 Oct 17, 2014
 #1
avatar
+5

x/100 = 500/30       | * 100      | * 30

x * 30 = 500 * 100      | : 30

x = 50000/30

x = 5000/3 = 1666.6666666666666667

 Oct 17, 2014
 #2
avatar+33661 
+5

Use a ratio approach:

 

X/100 = 500/30

 

X = 100*500/30 

 

$$X=1666\frac{2}{3}$$

 Oct 17, 2014
 #3
avatar
+5
Best Answer

You can also use a unitary approach.

First calculate what 1% would be worth if 30% is 500. To do this, divide 500 by 30.

$${\frac{{\mathtt{500}}}{{\mathtt{30}}}} = {\frac{{\mathtt{50}}}{{\mathtt{3}}}} = {\mathtt{16.666\: \!666\: \!666\: \!666\: \!666\: \!7}}$$

Then calculate what 100% is worth. To do this, multiply the 1% value by 100.

$${\frac{{\mathtt{50}}}{{\mathtt{3}}}}{\mathtt{\,\times\,}}{\mathtt{100}} = {\frac{{\mathtt{5\,000}}}{{\mathtt{3}}}} = {\mathtt{1\,666.666\: \!666\: \!666\: \!666\: \!666\: \!7}}$$

Rounded off to the nearest whole number, this is 1667.

Guest Oct 17, 2014

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