49 is what percent of 541 - 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 541 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 541, so we can write it down as 100%=541.
4. We know, that x% equals 49 of the output value, so we can write it down as x%=49.
5. Now we have two simple equations:
1) 100%=541
2) x%=49
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%=541/49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49 is what percent of 541

100%/x%=541/49
(100/x)*x=(541/49)*x       - we multiply both sides of the equation by x
100=11.040816326531*x       - we divide both sides of the equation by (11.040816326531) to get x
100/11.040816326531=x
9.0573012939002=x
x=9.0573012939002

now we have:
49 is 9.0573012939002% of 541