What is 487.5 percent of 6675 - 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 6675 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 6675 is 100%, so we can write it down as 6675=100%.
4. We know, that x is 487.5% of the output value, so we can write it down as x=487.5%.
5. Now we have two simple equations:
1) 6675=100%
2) x=487.5%
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:
6675/x=100%/487.5%
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 487.5% of 6675

6675/x=100/487.5
(6675/x)*x=(100/487.5)*x       - we multiply both sides of the equation by x
6675=0.20512820512821*x       - we divide both sides of the equation by (0.20512820512821) to get x
6675/0.20512820512821=x
32540.625=x
x=32540.625

now we have:
487.5% of 6675=32540.625