755.1 is what percent of 13418.4 - 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 13418.4 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 13418.4, so we can write it down as 100%=13418.4.
4. We know, that x% equals 755.1 of the output value, so we can write it down as x%=755.1.
5. Now we have two simple equations:
1) 100%=13418.4
2) x%=755.1
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%=13418.4/755.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 755.1 is what percent of 13418.4

100%/x%=13418.4/755.1
(100/x)*x=(13418.4/755.1)*x       - we multiply both sides of the equation by x
100=17.770361541518*x       - we divide both sides of the equation by (17.770361541518) to get x
100/17.770361541518=x
5.6273475228045=x
x=5.6273475228045

now we have:
755.1 is 5.6273475228045% of 13418.4