What is 1627 percent of 2.99 - 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 2.99 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 2.99 is 100%, so we can write it down as 2.99=100%.
4. We know, that x is 1627% of the output value, so we can write it down as x=1627%.
5. Now we have two simple equations:
1) 2.99=100%
2) x=1627%
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:
2.99/x=100%/1627%
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 1627% of 2.99

2.99/x=100/1627
(2.99/x)*x=(100/1627)*x       - we multiply both sides of the equation by x
2.99=0.061462814996927*x       - we divide both sides of the equation by (0.061462814996927) to get x
2.99/0.061462814996927=x
48.6473=x
x=48.6473

now we have:
1627% of 2.99=48.6473