26.86 is what percent of 1679.54 - 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 1679.54 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 1679.54, so we can write it down as 100%=1679.54.
4. We know, that x% equals 26.86 of the output value, so we can write it down as x%=26.86.
5. Now we have two simple equations:
1) 100%=1679.54
2) x%=26.86
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%=1679.54/26.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.86 is what percent of 1679.54

100%/x%=1679.54/26.86
(100/x)*x=(1679.54/26.86)*x       - we multiply both sides of the equation by x
100=62.529411764706*x       - we divide both sides of the equation by (62.529411764706) to get x
100/62.529411764706=x
1.5992474129821=x
x=1.5992474129821

now we have:
26.86 is 1.5992474129821% of 1679.54