2.77 is what percent of 3.43 - 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 3.43 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 3.43, so we can write it down as 100%=3.43.
4. We know, that x% equals 2.77 of the output value, so we can write it down as x%=2.77.
5. Now we have two simple equations:
1) 100%=3.43
2) x%=2.77
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%=3.43/2.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.77 is what percent of 3.43

100%/x%=3.43/2.77
(100/x)*x=(3.43/2.77)*x       - we multiply both sides of the equation by x
100=1.2382671480144*x       - we divide both sides of the equation by (1.2382671480144) to get x
100/1.2382671480144=x
80.758017492711=x
x=80.758017492711

now we have:
2.77 is 80.758017492711% of 3.43