56.7 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 56.7 of the output value, so we can write it down as x%=56.7.
5. Now we have two simple equations:
1) 100%=299
2) x%=56.7
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%=299/56.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.7 is what percent of 299

100%/x%=299/56.7
(100/x)*x=(299/56.7)*x       - we multiply both sides of the equation by x
100=5.2733686067019*x       - we divide both sides of the equation by (5.2733686067019) to get x
100/5.2733686067019=x
18.963210702341=x
x=18.963210702341

now we have:
56.7 is 18.963210702341% of 299