What is 1335 percent of 505 - 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 505 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 505 is 100%, so we can write it down as 505=100%.
4. We know, that x is 1335% of the output value, so we can write it down as x=1335%.
5. Now we have two simple equations:
1) 505=100%
2) x=1335%
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:
505/x=100%/1335%
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 1335% of 505

505/x=100/1335
(505/x)*x=(100/1335)*x       - we multiply both sides of the equation by x
505=0.074906367041199*x       - we divide both sides of the equation by (0.074906367041199) to get x
505/0.074906367041199=x
6741.75=x
x=6741.75

now we have:
1335% of 505=6741.75