What is 2.85 percent of 76.46 - 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 76.46 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 76.46 is 100%, so we can write it down as 76.46=100%.
4. We know, that x is 2.85% of the output value, so we can write it down as x=2.85%.
5. Now we have two simple equations:
1) 76.46=100%
2) x=2.85%
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:
76.46/x=100%/2.85%
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 2.85% of 76.46

76.46/x=100/2.85
(76.46/x)*x=(100/2.85)*x       - we multiply both sides of the equation by x
76.46=35.087719298246*x       - we divide both sides of the equation by (35.087719298246) to get x
76.46/35.087719298246=x
2.17911=x
x=2.17911

now we have:
2.85% of 76.46=2.17911