42.6 is what percent of 26.4 - 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 26.4 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 26.4, so we can write it down as 100%=26.4.
4. We know, that x% equals 42.6 of the output value, so we can write it down as x%=42.6.
5. Now we have two simple equations:
1) 100%=26.4
2) x%=42.6
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%=26.4/42.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.6 is what percent of 26.4

100%/x%=26.4/42.6
(100/x)*x=(26.4/42.6)*x       - we multiply both sides of the equation by x
100=0.61971830985915*x       - we divide both sides of the equation by (0.61971830985915) to get x
100/0.61971830985915=x
161.36363636364=x
x=161.36363636364

now we have:
42.6 is 161.36363636364% of 26.4