How to figured out a % of an unknown

Question

I suck at math this question will probably be basic for you guys. I work on a commission basis $3$ people in a truck and we split it , 1st person gets $38$% , 2nd gets $37$% , 3rd gets $25$%. I'm trying to figure out if the 2nd person made $151.99$ for a day how do I calculate what the total of all 3 people was.

So $37$% of $x = 151.99$ ?

Answer 1

Minor hint/ guide:

The total is $100$ units.

$37$ units are worth $\$151.99$

how much is $1$ unit worth?

how much are $100$ units worth?

Does this agree with your equation?

Answer 2

The best way to go about it is to first note how one can compute how much it is $P$% of a number. For example, what is $56$% of 44352? What you do is turn $56$% into $0.56$ (divide the number by $100$) and then multiply by the number.

Because $0.56 \cdot 44352 = 24837.12$, $56$% of $44352$ is $24837.12$.

Now we know that $37$% of the total (let us call it $T$) is $151.99$. So, someone did the maths,

$$T \cdot 0.37 = 151.99$$

and this sets up an equation. Can you solve it?

You want to isolate $T$ on the left so just divide both sides by $0.37$:

$$T = \frac{151.99}{0.37}$$

and then a calculator or a piece of paper will do the rest!

Answer 3

$37$% of $T$ (total) is $\$151.99$

$0.37T = \$151.99$

$T = \frac{151.99}{0.37}$

$T = 410.783783784$ which is about $\$410.78$.