5.4 is what percent of 90.5 - 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 90.5 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 90.5, so we can write it down as 100%=90.5.
4. We know, that x% equals 5.4 of the output value, so we can write it down as x%=5.4.
5. Now we have two simple equations:
1) 100%=90.5
2) x%=5.4
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%=90.5/5.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.4 is what percent of 90.5

100%/x%=90.5/5.4
(100/x)*x=(90.5/5.4)*x       - we multiply both sides of the equation by x
100=16.759259259259*x       - we divide both sides of the equation by (16.759259259259) to get x
100/16.759259259259=x
5.9668508287293=x
x=5.9668508287293

now we have:
5.4 is 5.9668508287293% of 90.5