213.3 is what percent of 1288 - 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 1288 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 1288, so we can write it down as 100%=1288.
4. We know, that x% equals 213.3 of the output value, so we can write it down as x%=213.3.
5. Now we have two simple equations:
1) 100%=1288
2) x%=213.3
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%=1288/213.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 213.3 is what percent of 1288

100%/x%=1288/213.3
(100/x)*x=(1288/213.3)*x       - we multiply both sides of the equation by x
100=6.0384435067979*x       - we divide both sides of the equation by (6.0384435067979) to get x
100/6.0384435067979=x
16.560559006211=x
x=16.560559006211

now we have:
213.3 is 16.560559006211% of 1288