6.71 is what percent of 98.65 - 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 98.65 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 98.65, so we can write it down as 100%=98.65.
4. We know, that x% equals 6.71 of the output value, so we can write it down as x%=6.71.
5. Now we have two simple equations:
1) 100%=98.65
2) x%=6.71
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%=98.65/6.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.71 is what percent of 98.65

100%/x%=98.65/6.71
(100/x)*x=(98.65/6.71)*x       - we multiply both sides of the equation by x
100=14.701937406855*x       - we divide both sides of the equation by (14.701937406855) to get x
100/14.701937406855=x
6.8018246325393=x
x=6.8018246325393

now we have:
6.71 is 6.8018246325393% of 98.65