8.47 is what percent of 29.47 - 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 29.47 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 29.47, so we can write it down as 100%=29.47.
4. We know, that x% equals 8.47 of the output value, so we can write it down as x%=8.47.
5. Now we have two simple equations:
1) 100%=29.47
2) x%=8.47
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%=29.47/8.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.47 is what percent of 29.47

100%/x%=29.47/8.47
(100/x)*x=(29.47/8.47)*x       - we multiply both sides of the equation by x
100=3.4793388429752*x       - we divide both sides of the equation by (3.4793388429752) to get x
100/3.4793388429752=x
28.74109263658=x
x=28.74109263658

now we have:
8.47 is 28.74109263658% of 29.47