What is 2.15 percent of 510.75 - 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 510.75 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 510.75 is 100%, so we can write it down as 510.75=100%.
4. We know, that x is 2.15% of the output value, so we can write it down as x=2.15%.
5. Now we have two simple equations:
1) 510.75=100%
2) x=2.15%
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:
510.75/x=100%/2.15%
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 2.15% of 510.75

510.75/x=100/2.15
(510.75/x)*x=(100/2.15)*x       - we multiply both sides of the equation by x
510.75=46.511627906977*x       - we divide both sides of the equation by (46.511627906977) to get x
510.75/46.511627906977=x
10.981125=x
x=10.981125

now we have:
2.15% of 510.75=10.981125