98 is what percent of 20214 - 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 20214 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 20214, so we can write it down as 100%=20214.
4. We know, that x% equals 98 of the output value, so we can write it down as x%=98.
5. Now we have two simple equations:
1) 100%=20214
2) x%=98
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%=20214/98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98 is what percent of 20214

100%/x%=20214/98
(100/x)*x=(20214/98)*x       - we multiply both sides of the equation by x
100=206.26530612245*x       - we divide both sides of the equation by (206.26530612245) to get x
100/206.26530612245=x
0.48481250618383=x
x=0.48481250618383

now we have:
98 is 0.48481250618383% of 20214