7735.75 is what percent of 7428 - 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 7428 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 7428, so we can write it down as 100%=7428.
4. We know, that x% equals 7735.75 of the output value, so we can write it down as x%=7735.75.
5. Now we have two simple equations:
1) 100%=7428
2) x%=7735.75
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%=7428/7735.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7735.75 is what percent of 7428

100%/x%=7428/7735.75
(100/x)*x=(7428/7735.75)*x       - we multiply both sides of the equation by x
100=0.96021717351259*x       - we divide both sides of the equation by (0.96021717351259) to get x
100/0.96021717351259=x
104.14310716209=x
x=104.14310716209

now we have:
7735.75 is 104.14310716209% of 7428