1655 is what percent of 3496 - 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 3496 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 3496, so we can write it down as 100%=3496.
4. We know, that x% equals 1655 of the output value, so we can write it down as x%=1655.
5. Now we have two simple equations:
1) 100%=3496
2) x%=1655
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%=3496/1655
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1655 is what percent of 3496

100%/x%=3496/1655
(100/x)*x=(3496/1655)*x       - we multiply both sides of the equation by x
100=2.1123867069486*x       - we divide both sides of the equation by (2.1123867069486) to get x
100/2.1123867069486=x
47.339816933638=x
x=47.339816933638

now we have:
1655 is 47.339816933638% of 3496