4.7 is what percent of 3.2 - 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 3.2 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 3.2, so we can write it down as 100%=3.2.
4. We know, that x% equals 4.7 of the output value, so we can write it down as x%=4.7.
5. Now we have two simple equations:
1) 100%=3.2
2) x%=4.7
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%=3.2/4.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.7 is what percent of 3.2

100%/x%=3.2/4.7
(100/x)*x=(3.2/4.7)*x       - we multiply both sides of the equation by x
100=0.68085106382979*x       - we divide both sides of the equation by (0.68085106382979) to get x
100/0.68085106382979=x
146.875=x
x=146.875

now we have:
4.7 is 146.875% of 3.2