26.72 is what percent of 346.64 - 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 346.64 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 346.64, so we can write it down as 100%=346.64.
4. We know, that x% equals 26.72 of the output value, so we can write it down as x%=26.72.
5. Now we have two simple equations:
1) 100%=346.64
2) x%=26.72
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%=346.64/26.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.72 is what percent of 346.64

100%/x%=346.64/26.72
(100/x)*x=(346.64/26.72)*x       - we multiply both sides of the equation by x
100=12.973053892216*x       - we divide both sides of the equation by (12.973053892216) to get x
100/12.973053892216=x
7.7082852527117=x
x=7.7082852527117

now we have:
26.72 is 7.7082852527117% of 346.64