49.42 is what percent of 335.2 - 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 335.2 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 335.2, so we can write it down as 100%=335.2.
4. We know, that x% equals 49.42 of the output value, so we can write it down as x%=49.42.
5. Now we have two simple equations:
1) 100%=335.2
2) x%=49.42
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%=335.2/49.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.42 is what percent of 335.2

100%/x%=335.2/49.42
(100/x)*x=(335.2/49.42)*x       - we multiply both sides of the equation by x
100=6.7826790772966*x       - we divide both sides of the equation by (6.7826790772966) to get x
100/6.7826790772966=x
14.743436754177=x
x=14.743436754177

now we have:
49.42 is 14.743436754177% of 335.2