18.78 is what percent of 313.12 - 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 313.12 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 313.12, so we can write it down as 100%=313.12.
4. We know, that x% equals 18.78 of the output value, so we can write it down as x%=18.78.
5. Now we have two simple equations:
1) 100%=313.12
2) x%=18.78
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%=313.12/18.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.78 is what percent of 313.12

100%/x%=313.12/18.78
(100/x)*x=(313.12/18.78)*x       - we multiply both sides of the equation by x
100=16.673056443024*x       - we divide both sides of the equation by (16.673056443024) to get x
100/16.673056443024=x
5.9977005620848=x
x=5.9977005620848

now we have:
18.78 is 5.9977005620848% of 313.12