13 is what percent of 2270 - 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 2270 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 2270, so we can write it down as 100%=2270.
4. We know, that x% equals 13 of the output value, so we can write it down as x%=13.
5. Now we have two simple equations:
1) 100%=2270
2) x%=13
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%=2270/13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13 is what percent of 2270

100%/x%=2270/13
(100/x)*x=(2270/13)*x       - we multiply both sides of the equation by x
100=174.61538461538*x       - we divide both sides of the equation by (174.61538461538) to get x
100/174.61538461538=x
0.5726872246696=x
x=0.5726872246696

now we have:
13 is 0.5726872246696% of 2270