46.7 is what percent of 3242.8 - 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 3242.8 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 3242.8, so we can write it down as 100%=3242.8.
4. We know, that x% equals 46.7 of the output value, so we can write it down as x%=46.7.
5. Now we have two simple equations:
1) 100%=3242.8
2) x%=46.7
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%=3242.8/46.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.7 is what percent of 3242.8

100%/x%=3242.8/46.7
(100/x)*x=(3242.8/46.7)*x       - we multiply both sides of the equation by x
100=69.438972162741*x       - we divide both sides of the equation by (69.438972162741) to get x
100/69.438972162741=x
1.4401134821759=x
x=1.4401134821759

now we have:
46.7 is 1.4401134821759% of 3242.8