98 is what percent of 6380 - 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 6380 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 6380, so we can write it down as 100%=6380.
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%=6380
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%=6380/98
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 6380

100%/x%=6380/98
(100/x)*x=(6380/98)*x       - we multiply both sides of the equation by x
100=65.102040816327*x       - we divide both sides of the equation by (65.102040816327) to get x
100/65.102040816327=x
1.5360501567398=x
x=1.5360501567398

now we have:
98 is 1.5360501567398% of 6380