38.99 is what percent of 703.12 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 703.12 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 703.12, so we can write it down as 100%=703.12.
4. We know, that x% equals 38.99 of the output value, so we can write it down as x%=38.99.
5. Now we have two simple equations:
1) 100%=703.12
2) x%=38.99
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=703.12/38.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.99 is what percent of 703.12

100%/x%=703.12/38.99
(100/x)*x=(703.12/38.99)*x       - we multiply both sides of the equation by x
100=18.033341882534*x       - we divide both sides of the equation by (18.033341882534) to get x
100/18.033341882534=x
5.5452838775742=x
x=5.5452838775742

now we have:
38.99 is 5.5452838775742% of 703.12