46.79 is what percent of 1470 - 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 1470 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 1470, so we can write it down as 100%=1470.
4. We know, that x% equals 46.79 of the output value, so we can write it down as x%=46.79.
5. Now we have two simple equations:
1) 100%=1470
2) x%=46.79
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%=1470/46.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.79 is what percent of 1470

100%/x%=1470/46.79
(100/x)*x=(1470/46.79)*x       - we multiply both sides of the equation by x
100=31.416969437914*x       - we divide both sides of the equation by (31.416969437914) to get x
100/31.416969437914=x
3.1829931972789=x
x=3.1829931972789

now we have:
46.79 is 3.1829931972789% of 1470