1715 is what percent of 4005.75 - 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 4005.75 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 100% equals 4005.75, so we can write it down as 100%=4005.75.
4. We know, that x% equals 1715 of the output value, so we can write it down as x%=1715.
5. Now we have two simple equations:
1) 100%=4005.75
2) x%=1715
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%=4005.75/1715
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1715 is what percent of 4005.75

100%/x%=4005.75/1715
(100/x)*x=(4005.75/1715)*x       - we multiply both sides of the equation by x
100=2.3357142857143*x       - we divide both sides of the equation by (2.3357142857143) to get x
100/2.3357142857143=x
42.813455657492=x
x=42.813455657492

now we have:
1715 is 42.813455657492% of 4005.75