55 is what percent of 14357 - 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 14357 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 14357, so we can write it down as 100%=14357.
4. We know, that x% equals 55 of the output value, so we can write it down as x%=55.
5. Now we have two simple equations:
1) 100%=14357
2) x%=55
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%=14357/55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55 is what percent of 14357

100%/x%=14357/55
(100/x)*x=(14357/55)*x       - we multiply both sides of the equation by x
100=261.03636363636*x       - we divide both sides of the equation by (261.03636363636) to get x
100/261.03636363636=x
0.38308838893919=x
x=0.38308838893919

now we have:
55 is 0.38308838893919% of 14357