What is 2.64 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 2.64% of the output value, so we can write it down as x=2.64%.
5. Now we have two simple equations:
1) 507.05=100%
2) x=2.64%
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%/2.64%
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 2.64% of 507.05

507.05/x=100/2.64
(507.05/x)*x=(100/2.64)*x       - we multiply both sides of the equation by x
507.05=37.878787878788*x       - we divide both sides of the equation by (37.878787878788) to get x
507.05/37.878787878788=x
13.38612=x
x=13.38612

now we have:
2.64% of 507.05=13.38612