218.5 is what percent of 9937.75 - 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 9937.75 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 9937.75, so we can write it down as 100%=9937.75.
4. We know, that x% equals 218.5 of the output value, so we can write it down as x%=218.5.
5. Now we have two simple equations:
1) 100%=9937.75
2) x%=218.5
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%=9937.75/218.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 218.5 is what percent of 9937.75

100%/x%=9937.75/218.5
(100/x)*x=(9937.75/218.5)*x       - we multiply both sides of the equation by x
100=45.481693363844*x       - we divide both sides of the equation by (45.481693363844) to get x
100/45.481693363844=x
2.1986868254887=x
x=2.1986868254887

now we have:
218.5 is 2.1986868254887% of 9937.75