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

1. 74
Iamsamposted 8 years ago

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.

2. 73
telltaleposted 8 years ago

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

3. 60
arrow007posted 8 years ago

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)

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.html

4. 62
jacobkuttytaposted 8 years ago

500 + {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 = 500

5. 74
Iamsamposted 8 years ago

thanks for taking time out to solve my problem

6. 84
mathsloverposted 8 years ago

(25%* X)+ X =625
0.25X + X= 625
1.25X= 625

Therefore X = 625/1.25
=500

working