1578.75 is what percent of 2175 - 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 2175 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 100% equals 2175, so we can write it down as 100%=2175.
4. We know, that x% equals 1578.75 of the output value, so we can write it down as x%=1578.75.
5. Now we have two simple equations:
1) 100%=2175
2) x%=1578.75
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:
100%/x%=2175/1578.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1578.75 is what percent of 2175

100%/x%=2175/1578.75
(100/x)*x=(2175/1578.75)*x       - we multiply both sides of the equation by x
100=1.3776722090261*x       - we divide both sides of the equation by (1.3776722090261) to get x
100/1.3776722090261=x
72.586206896552=x
x=72.586206896552

now we have:
1578.75 is 72.586206896552% of 2175