253.63 is what percent of 1309.56 - 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 1309.56 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 1309.56, so we can write it down as 100%=1309.56.
4. We know, that x% equals 253.63 of the output value, so we can write it down as x%=253.63.
5. Now we have two simple equations:
1) 100%=1309.56
2) x%=253.63
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%=1309.56/253.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 253.63 is what percent of 1309.56

100%/x%=1309.56/253.63
(100/x)*x=(1309.56/253.63)*x       - we multiply both sides of the equation by x
100=5.163269329338*x       - we divide both sides of the equation by (5.163269329338) to get x
100/5.163269329338=x
19.367573841596=x
x=19.367573841596

now we have:
253.63 is 19.367573841596% of 1309.56