739.73 is what percent of 2678.54 - 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 2678.54 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 2678.54, so we can write it down as 100%=2678.54.
4. We know, that x% equals 739.73 of the output value, so we can write it down as x%=739.73.
5. Now we have two simple equations:
1) 100%=2678.54
2) x%=739.73
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%=2678.54/739.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 739.73 is what percent of 2678.54

100%/x%=2678.54/739.73
(100/x)*x=(2678.54/739.73)*x       - we multiply both sides of the equation by x
100=3.6209698133103*x       - we divide both sides of the equation by (3.6209698133103) to get x
100/3.6209698133103=x
27.616910705086=x
x=27.616910705086

now we have:
739.73 is 27.616910705086% of 2678.54