What is 1.75 percent of 1827.5 - 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 1827.5 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 1827.5 is 100%, so we can write it down as 1827.5=100%.
4. We know, that x is 1.75% of the output value, so we can write it down as x=1.75%.
5. Now we have two simple equations:
1) 1827.5=100%
2) x=1.75%
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:
1827.5/x=100%/1.75%
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 1.75% of 1827.5

1827.5/x=100/1.75
(1827.5/x)*x=(100/1.75)*x       - we multiply both sides of the equation by x
1827.5=57.142857142857*x       - we divide both sides of the equation by (57.142857142857) to get x
1827.5/57.142857142857=x
31.98125=x
x=31.98125

now we have:
1.75% of 1827.5=31.98125