1344.57 is what percent of 25.666 - 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 25.666 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 25.666, so we can write it down as 100%=25.666.
4. We know, that x% equals 1344.57 of the output value, so we can write it down as x%=1344.57.
5. Now we have two simple equations:
1) 100%=25.666
2) x%=1344.57
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%=25.666/1344.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1344.57 is what percent of 25.666

100%/x%=25.666/1344.57
(100/x)*x=(25.666/1344.57)*x       - we multiply both sides of the equation by x
100=0.019088630565906*x       - we divide both sides of the equation by (0.019088630565906) to get x
100/0.019088630565906=x
5238.7204862464=x
x=5238.7204862464

now we have:
1344.57 is 5238.7204862464% of 25.666