29.34 is what percent of 473.3 - 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 473.3 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 473.3, so we can write it down as 100%=473.3.
4. We know, that x% equals 29.34 of the output value, so we can write it down as x%=29.34.
5. Now we have two simple equations:
1) 100%=473.3
2) x%=29.34
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%=473.3/29.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.34 is what percent of 473.3

100%/x%=473.3/29.34
(100/x)*x=(473.3/29.34)*x       - we multiply both sides of the equation by x
100=16.131561008862*x       - we divide both sides of the equation by (16.131561008862) to get x
100/16.131561008862=x
6.1990281005705=x
x=6.1990281005705

now we have:
29.34 is 6.1990281005705% of 473.3