13.3 is what percent of 56700 - 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 56700 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 56700, so we can write it down as 100%=56700.
4. We know, that x% equals 13.3 of the output value, so we can write it down as x%=13.3.
5. Now we have two simple equations:
1) 100%=56700
2) x%=13.3
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%=56700/13.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.3 is what percent of 56700

100%/x%=56700/13.3
(100/x)*x=(56700/13.3)*x       - we multiply both sides of the equation by x
100=4263.1578947368*x       - we divide both sides of the equation by (4263.1578947368) to get x
100/4263.1578947368=x
0.023456790123457=x
x=0.023456790123457

now we have:
13.3 is 0.023456790123457% of 56700