5.47 is what percent of 85.12 - 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 85.12 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 85.12, so we can write it down as 100%=85.12.
4. We know, that x% equals 5.47 of the output value, so we can write it down as x%=5.47.
5. Now we have two simple equations:
1) 100%=85.12
2) x%=5.47
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%=85.12/5.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.47 is what percent of 85.12

100%/x%=85.12/5.47
(100/x)*x=(85.12/5.47)*x       - we multiply both sides of the equation by x
100=15.561243144424*x       - we divide both sides of the equation by (15.561243144424) to get x
100/15.561243144424=x
6.4262218045113=x
x=6.4262218045113

now we have:
5.47 is 6.4262218045113% of 85.12