What is 6.35 percent of 8900 - 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 8900 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 8900 is 100%, so we can write it down as 8900=100%.
4. We know, that x is 6.35% of the output value, so we can write it down as x=6.35%.
5. Now we have two simple equations:
1) 8900=100%
2) x=6.35%
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:
8900/x=100%/6.35%
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 6.35% of 8900

8900/x=100/6.35
(8900/x)*x=(100/6.35)*x       - we multiply both sides of the equation by x
8900=15.748031496063*x       - we divide both sides of the equation by (15.748031496063) to get x
8900/15.748031496063=x
565.15=x
x=565.15

now we have:
6.35% of 8900=565.15