253.7 is what percent of 1687.29 - 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 1687.29 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 1687.29, so we can write it down as 100%=1687.29.
4. We know, that x% equals 253.7 of the output value, so we can write it down as x%=253.7.
5. Now we have two simple equations:
1) 100%=1687.29
2) x%=253.7
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%=1687.29/253.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 253.7 is what percent of 1687.29

100%/x%=1687.29/253.7
(100/x)*x=(1687.29/253.7)*x       - we multiply both sides of the equation by x
100=6.6507292077257*x       - we divide both sides of the equation by (6.6507292077257) to get x
100/6.6507292077257=x
15.035945213923=x
x=15.035945213923

now we have:
253.7 is 15.035945213923% of 1687.29