2.4 is what percent of 17.87 - 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 17.87 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 17.87, so we can write it down as 100%=17.87.
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%=17.87
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%=17.87/2.4
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 17.87

100%/x%=17.87/2.4
(100/x)*x=(17.87/2.4)*x       - we multiply both sides of the equation by x
100=7.4458333333333*x       - we divide both sides of the equation by (7.4458333333333) to get x
100/7.4458333333333=x
13.430330162283=x
x=13.430330162283

now we have:
2.4 is 13.430330162283% of 17.87