84 is what percent of 971 - 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 971 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 971, so we can write it down as 100%=971.
4. We know, that x% equals 84 of the output value, so we can write it down as x%=84.
5. Now we have two simple equations:
1) 100%=971
2) x%=84
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%=971/84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84 is what percent of 971

100%/x%=971/84
(100/x)*x=(971/84)*x       - we multiply both sides of the equation by x
100=11.559523809524*x       - we divide both sides of the equation by (11.559523809524) to get x
100/11.559523809524=x
8.6508753861998=x
x=8.6508753861998

now we have:
84 is 8.6508753861998% of 971