What is 3375 percent of 135 - 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 135 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 135 is 100%, so we can write it down as 135=100%.
4. We know, that x is 3375% of the output value, so we can write it down as x=3375%.
5. Now we have two simple equations:
1) 135=100%
2) x=3375%
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:
135/x=100%/3375%
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 3375% of 135

135/x=100/3375
(135/x)*x=(100/3375)*x       - we multiply both sides of the equation by x
135=0.02962962962963*x       - we divide both sides of the equation by (0.02962962962963) to get x
135/0.02962962962963=x
4556.25=x
x=4556.25

now we have:
3375% of 135=4556.25