62.49 is what percent of 182.49 - 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 182.49 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 182.49, so we can write it down as 100%=182.49.
4. We know, that x% equals 62.49 of the output value, so we can write it down as x%=62.49.
5. Now we have two simple equations:
1) 100%=182.49
2) x%=62.49
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%=182.49/62.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 62.49 is what percent of 182.49

100%/x%=182.49/62.49
(100/x)*x=(182.49/62.49)*x       - we multiply both sides of the equation by x
100=2.9203072491599*x       - we divide both sides of the equation by (2.9203072491599) to get x
100/2.9203072491599=x
34.242972217656=x
x=34.242972217656

now we have:
62.49 is 34.242972217656% of 182.49