2.84 is what percent of 3.14 - 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 3.14 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 3.14, so we can write it down as 100%=3.14.
4. We know, that x% equals 2.84 of the output value, so we can write it down as x%=2.84.
5. Now we have two simple equations:
1) 100%=3.14
2) x%=2.84
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%=3.14/2.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.84 is what percent of 3.14

100%/x%=3.14/2.84
(100/x)*x=(3.14/2.84)*x       - we multiply both sides of the equation by x
100=1.1056338028169*x       - we divide both sides of the equation by (1.1056338028169) to get x
100/1.1056338028169=x
90.445859872611=x
x=90.445859872611

now we have:
2.84 is 90.445859872611% of 3.14