62.49 is what percent of 200.82 - 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 200.82 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 200.82, so we can write it down as 100%=200.82.
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%=200.82
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%=200.82/62.49
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 200.82

100%/x%=200.82/62.49
(100/x)*x=(200.82/62.49)*x       - we multiply both sides of the equation by x
100=3.213634181469*x       - we divide both sides of the equation by (3.213634181469) to get x
100/3.213634181469=x
31.117418583806=x
x=31.117418583806

now we have:
62.49 is 31.117418583806% of 200.82