What is 82% of 525?
show work

430.5

Step-by-step explanation:

1. We assume, that the number 525 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 525 is 100%, so we can write it down as 525=100%.  

4. We know, that x is 82% of the output value, so we can write it down as x=82%.  

5. Now we have two simple equations:

1) 525=100%

2) x=82%

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:

525/x=100%/82%

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 82% of 525

525/x=100/82

(525/x)*x=(100/82)*x       - we multiply both sides of the equation by x

525=1.219512195122*x       - we divide both sides of the equation by (1.219512195122) to get x

525/1.219512195122=x  

430.5=x  

x=430.5

now we have:  

82% of 525=430.5

the answer is 0.071

good luck! : d