1.46 is what percent of 30.56 - 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 30.56 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 30.56, so we can write it down as 100%=30.56.
4. We know, that x% equals 1.46 of the output value, so we can write it down as x%=1.46.
5. Now we have two simple equations:
1) 100%=30.56
2) x%=1.46
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%=30.56/1.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.46 is what percent of 30.56

100%/x%=30.56/1.46
(100/x)*x=(30.56/1.46)*x       - we multiply both sides of the equation by x
100=20.931506849315*x       - we divide both sides of the equation by (20.931506849315) to get x
100/20.931506849315=x
4.7774869109948=x
x=4.7774869109948

now we have:
1.46 is 4.7774869109948% of 30.56