Eighty five percent of what number is 38.25

1. We assume, that the number 38.25 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 38.25 is 100%, so we can write it down as 38.25=100%.

4. We know, that x is 85% of the output value, so we can write it down as x=85%.

5. Now we have two simple equations:

1) 38.25=100%

2) x=85%

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:

38.25/x=100%/85%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 85% of 38.25

38.25/x=100/85

(38.25/x)*x=(100/85)*x       -

38.25=1.1764705882353*x       -

38.25/1.1764705882353=x

32.5125=x

x=32.5125

now we have:

85% of 38.25=32.5125

This may help and if it does then please thank me in the comments.

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this