19.5 is what percent of 313 - 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 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, so we can write it down as 100%=313.
4. We know, that x% equals 19.5 of the output value, so we can write it down as x%=19.5.
5. Now we have two simple equations:
1) 100%=313
2) x%=19.5
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%=313/19.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.5 is what percent of 313

100%/x%=313/19.5
(100/x)*x=(313/19.5)*x       - we multiply both sides of the equation by x
100=16.051282051282*x       - we divide both sides of the equation by (16.051282051282) to get x
100/16.051282051282=x
6.2300319488818=x
x=6.2300319488818

now we have:
19.5 is 6.2300319488818% of 313