3.12 is what percent of 3.46 - 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 3.46 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 3.46, so we can write it down as 100%=3.46.
4. We know, that x% equals 3.12 of the output value, so we can write it down as x%=3.12.
5. Now we have two simple equations:
1) 100%=3.46
2) x%=3.12
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%=3.46/3.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.12 is what percent of 3.46

100%/x%=3.46/3.12
(100/x)*x=(3.46/3.12)*x       - we multiply both sides of the equation by x
100=1.1089743589744*x       - we divide both sides of the equation by (1.1089743589744) to get x
100/1.1089743589744=x
90.173410404624=x
x=90.173410404624

now we have:
3.12 is 90.173410404624% of 3.46