2.75 is what percent of 7785 - 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 7785 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 7785, so we can write it down as 100%=7785.
4. We know, that x% equals 2.75 of the output value, so we can write it down as x%=2.75.
5. Now we have two simple equations:
1) 100%=7785
2) x%=2.75
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%=7785/2.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.75 is what percent of 7785

100%/x%=7785/2.75
(100/x)*x=(7785/2.75)*x       - we multiply both sides of the equation by x
100=2830.9090909091*x       - we divide both sides of the equation by (2830.9090909091) to get x
100/2830.9090909091=x
0.035324341682723=x
x=0.035324341682723

now we have:
2.75 is 0.035324341682723% of 7785