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How to find the base number from the total amount and percentage?

Do you have a formula for finding the base amount.

Let me explain

Suppose 25% of 500 is 125.

If you add this % i.e. 500+125=625

Now the question is, if you were given the % and total amount how can you find out the original number

i.e. 625 and 25% how will you find out the base number 500?

Any solution will be highly appreciated.625 divided by 125 times 100 will do the trick. 625 being 125% or in computers will (625/125)*100.

This is pretty interesting question. But I am happy I found the solution for your problem (by google search ).

A = Total amount

P = Principal amount

R = Interest rate for a period

T = number of periods

P = A/(1+RT)

So considering your example problem.

P = 625/(1+ (0.25 * 1))

P = 500

This works only if the total amount is simple interest amount.

Source: http://www.blurtit.com/q751227.html500 + {500 * 25/100} = 625

Let us suppose 500= "x" then

X + {X * 25/100} = 625

X + (X * 0.25) = 625

X + 0.25 X = 625

1.25X = 625

X = 625/1.25

X = 500Thanks all for your effort.

thanks for taking time out to solve my problem(25%* X)+ X =625

0.25X + X= 625

1.25X= 625

Therefore X = 625/1.25

=500

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