5.42 is what percent of 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 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 55, so we can write it down as 100%=55.
4. We know, that x% equals 5.42 of the output value, so we can write it down as x%=5.42.
5. Now we have two simple equations:
1) 100%=55
2) x%=5.42
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%=55/5.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.42 is what percent of 55

100%/x%=55/5.42
(100/x)*x=(55/5.42)*x       - we multiply both sides of the equation by x
100=10.147601476015*x       - we divide both sides of the equation by (10.147601476015) to get x
100/10.147601476015=x
9.8545454545455=x
x=9.8545454545455

now we have:
5.42 is 9.8545454545455% of 55