2.12 is what percent of 56.58 - 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 56.58 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 56.58, so we can write it down as 100%=56.58.
4. We know, that x% equals 2.12 of the output value, so we can write it down as x%=2.12.
5. Now we have two simple equations:
1) 100%=56.58
2) x%=2.12
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%=56.58/2.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.12 is what percent of 56.58

100%/x%=56.58/2.12
(100/x)*x=(56.58/2.12)*x       - we multiply both sides of the equation by x
100=26.688679245283*x       - we divide both sides of the equation by (26.688679245283) to get x
100/26.688679245283=x
3.7469070342877=x
x=3.7469070342877

now we have:
2.12 is 3.7469070342877% of 56.58