2.71 is what percent of 83.14 - 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 83.14 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 83.14, so we can write it down as 100%=83.14.
4. We know, that x% equals 2.71 of the output value, so we can write it down as x%=2.71.
5. Now we have two simple equations:
1) 100%=83.14
2) x%=2.71
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%=83.14/2.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.71 is what percent of 83.14

100%/x%=83.14/2.71
(100/x)*x=(83.14/2.71)*x       - we multiply both sides of the equation by x
100=30.678966789668*x       - we divide both sides of the equation by (30.678966789668) to get x
100/30.678966789668=x
3.2595621842675=x
x=3.2595621842675

now we have:
2.71 is 3.2595621842675% of 83.14