1642.37 is what percent of 4610 - 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 4610 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 4610, so we can write it down as 100%=4610.
4. We know, that x% equals 1642.37 of the output value, so we can write it down as x%=1642.37.
5. Now we have two simple equations:
1) 100%=4610
2) x%=1642.37
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%=4610/1642.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1642.37 is what percent of 4610

100%/x%=4610/1642.37
(100/x)*x=(4610/1642.37)*x       - we multiply both sides of the equation by x
100=2.806919269105*x       - we divide both sides of the equation by (2.806919269105) to get x
100/2.806919269105=x
35.626247288503=x
x=35.626247288503

now we have:
1642.37 is 35.626247288503% of 4610