215.13 is what percent of 299 - 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 299 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 299, so we can write it down as 100%=299.
4. We know, that x% equals 215.13 of the output value, so we can write it down as x%=215.13.
5. Now we have two simple equations:
1) 100%=299
2) x%=215.13
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%=299/215.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 215.13 is what percent of 299

100%/x%=299/215.13
(100/x)*x=(299/215.13)*x       - we multiply both sides of the equation by x
100=1.3898572955887*x       - we divide both sides of the equation by (1.3898572955887) to get x
100/1.3898572955887=x
71.94983277592=x
x=71.94983277592

now we have:
215.13 is 71.94983277592% of 299