47.4 is what percent of 158.4 - 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 158.4 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 158.4, so we can write it down as 100%=158.4.
4. We know, that x% equals 47.4 of the output value, so we can write it down as x%=47.4.
5. Now we have two simple equations:
1) 100%=158.4
2) x%=47.4
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%=158.4/47.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.4 is what percent of 158.4

100%/x%=158.4/47.4
(100/x)*x=(158.4/47.4)*x       - we multiply both sides of the equation by x
100=3.3417721518987*x       - we divide both sides of the equation by (3.3417721518987) to get x
100/3.3417721518987=x
29.924242424242=x
x=29.924242424242

now we have:
47.4 is 29.924242424242% of 158.4