26.12 is what percent of 246.343 - 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 246.343 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 246.343, so we can write it down as 100%=246.343.
4. We know, that x% equals 26.12 of the output value, so we can write it down as x%=26.12.
5. Now we have two simple equations:
1) 100%=246.343
2) x%=26.12
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%=246.343/26.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.12 is what percent of 246.343

100%/x%=246.343/26.12
(100/x)*x=(246.343/26.12)*x       - we multiply both sides of the equation by x
100=9.431202143951*x       - we divide both sides of the equation by (9.431202143951) to get x
100/9.431202143951=x
10.60310217867=x
x=10.60310217867

now we have:
26.12 is 10.60310217867% of 246.343