38.02 is what percent of 282.6 - 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 282.6 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 282.6, so we can write it down as 100%=282.6.
4. We know, that x% equals 38.02 of the output value, so we can write it down as x%=38.02.
5. Now we have two simple equations:
1) 100%=282.6
2) x%=38.02
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%=282.6/38.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.02 is what percent of 282.6

100%/x%=282.6/38.02
(100/x)*x=(282.6/38.02)*x       - we multiply both sides of the equation by x
100=7.4329300368227*x       - we divide both sides of the equation by (7.4329300368227) to get x
100/7.4329300368227=x
13.45364472753=x
x=13.45364472753

now we have:
38.02 is 13.45364472753% of 282.6