What is 46.6 percent of 1720 - 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 1720 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 1720 is 100%, so we can write it down as 1720=100%.
4. We know, that x is 46.6% of the output value, so we can write it down as x=46.6%.
5. Now we have two simple equations:
1) 1720=100%
2) x=46.6%
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:
1720/x=100%/46.6%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 46.6% of 1720

1720/x=100/46.6
(1720/x)*x=(100/46.6)*x       - we multiply both sides of the equation by x
1720=2.1459227467811*x       - we divide both sides of the equation by (2.1459227467811) to get x
1720/2.1459227467811=x
801.52=x
x=801.52

now we have:
46.6% of 1720=801.52