2.4 is what percent of 42.6 - 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 42.6 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 42.6, so we can write it down as 100%=42.6.
4. We know, that x% equals 2.4 of the output value, so we can write it down as x%=2.4.
5. Now we have two simple equations:
1) 100%=42.6
2) x%=2.4
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%=42.6/2.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.4 is what percent of 42.6

100%/x%=42.6/2.4
(100/x)*x=(42.6/2.4)*x       - we multiply both sides of the equation by x
100=17.75*x       - we divide both sides of the equation by (17.75) to get x
100/17.75=x
5.6338028169014=x
x=5.6338028169014

now we have:
2.4 is 5.6338028169014% of 42.6