What is 6.41 percent of 507.05 - 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 507.05 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 507.05 is 100%, so we can write it down as 507.05=100%.
4. We know, that x is 6.41% of the output value, so we can write it down as x=6.41%.
5. Now we have two simple equations:
1) 507.05=100%
2) x=6.41%
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:
507.05/x=100%/6.41%
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 6.41% of 507.05

507.05/x=100/6.41
(507.05/x)*x=(100/6.41)*x       - we multiply both sides of the equation by x
507.05=15.600624024961*x       - we divide both sides of the equation by (15.600624024961) to get x
507.05/15.600624024961=x
32.501905=x
x=32.501905

now we have:
6.41% of 507.05=32.501905