250.35 is what percent of 1353.33 - 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 1353.33 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 1353.33, so we can write it down as 100%=1353.33.
4. We know, that x% equals 250.35 of the output value, so we can write it down as x%=250.35.
5. Now we have two simple equations:
1) 100%=1353.33
2) x%=250.35
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%=1353.33/250.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 250.35 is what percent of 1353.33

100%/x%=1353.33/250.35
(100/x)*x=(1353.33/250.35)*x       - we multiply both sides of the equation by x
100=5.4057519472738*x       - we divide both sides of the equation by (5.4057519472738) to get x
100/5.4057519472738=x
18.498814036488=x
x=18.498814036488

now we have:
250.35 is 18.498814036488% of 1353.33