98 is what percent of 2446 - 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 2446 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 2446, so we can write it down as 100%=2446.
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%=2446
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%=2446/98
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 2446

100%/x%=2446/98
(100/x)*x=(2446/98)*x       - we multiply both sides of the equation by x
100=24.959183673469*x       - we divide both sides of the equation by (24.959183673469) to get x
100/24.959183673469=x
4.0065412919052=x
x=4.0065412919052

now we have:
98 is 4.0065412919052% of 2446