0.46 is what percent of 27.55 - 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 27.55 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 27.55, so we can write it down as 100%=27.55.
4. We know, that x% equals 0.46 of the output value, so we can write it down as x%=0.46.
5. Now we have two simple equations:
1) 100%=27.55
2) x%=0.46
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%=27.55/0.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.46 is what percent of 27.55

100%/x%=27.55/0.46
(100/x)*x=(27.55/0.46)*x       - we multiply both sides of the equation by x
100=59.891304347826*x       - we divide both sides of the equation by (59.891304347826) to get x
100/59.891304347826=x
1.6696914700544=x
x=1.6696914700544

now we have:
0.46 is 1.6696914700544% of 27.55