What is 47.2 percent of 515 - 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 515 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 515 is 100%, so we can write it down as 515=100%.
4. We know, that x is 47.2% of the output value, so we can write it down as x=47.2%.
5. Now we have two simple equations:
1) 515=100%
2) x=47.2%
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:
515/x=100%/47.2%
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 47.2% of 515

515/x=100/47.2
(515/x)*x=(100/47.2)*x       - we multiply both sides of the equation by x
515=2.1186440677966*x       - we divide both sides of the equation by (2.1186440677966) to get x
515/2.1186440677966=x
243.08=x
x=243.08

now we have:
47.2% of 515=243.08