18.2 is what percent of 26.456 - 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 26.456 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 26.456, so we can write it down as 100%=26.456.
4. We know, that x% equals 18.2 of the output value, so we can write it down as x%=18.2.
5. Now we have two simple equations:
1) 100%=26.456
2) x%=18.2
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%=26.456/18.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.2 is what percent of 26.456

100%/x%=26.456/18.2
(100/x)*x=(26.456/18.2)*x       - we multiply both sides of the equation by x
100=1.4536263736264*x       - we divide both sides of the equation by (1.4536263736264) to get x
100/1.4536263736264=x
68.793468400363=x
x=68.793468400363

now we have:
18.2 is 68.793468400363% of 26.456