7.16 is what percent of 84.21 - 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 84.21 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 84.21, so we can write it down as 100%=84.21.
4. We know, that x% equals 7.16 of the output value, so we can write it down as x%=7.16.
5. Now we have two simple equations:
1) 100%=84.21
2) x%=7.16
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%=84.21/7.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.16 is what percent of 84.21

100%/x%=84.21/7.16
(100/x)*x=(84.21/7.16)*x       - we multiply both sides of the equation by x
100=11.761173184358*x       - we divide both sides of the equation by (11.761173184358) to get x
100/11.761173184358=x
8.5025531409571=x
x=8.5025531409571

now we have:
7.16 is 8.5025531409571% of 84.21