26.58 is what percent of 168.42 - 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 168.42 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 168.42, so we can write it down as 100%=168.42.
4. We know, that x% equals 26.58 of the output value, so we can write it down as x%=26.58.
5. Now we have two simple equations:
1) 100%=168.42
2) x%=26.58
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%=168.42/26.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.58 is what percent of 168.42

100%/x%=168.42/26.58
(100/x)*x=(168.42/26.58)*x       - we multiply both sides of the equation by x
100=6.3363431151242*x       - we divide both sides of the equation by (6.3363431151242) to get x
100/6.3363431151242=x
15.781973637335=x
x=15.781973637335

now we have:
26.58 is 15.781973637335% of 168.42