63.75 is what percent of 340 - 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 340 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 340, so we can write it down as 100%=340.
4. We know, that x% equals 63.75 of the output value, so we can write it down as x%=63.75.
5. Now we have two simple equations:
1) 100%=340
2) x%=63.75
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%=340/63.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.75 is what percent of 340

100%/x%=340/63.75
(100/x)*x=(340/63.75)*x       - we multiply both sides of the equation by x
100=5.3333333333333*x       - we divide both sides of the equation by (5.3333333333333) to get x
100/5.3333333333333=x
18.75=x
x=18.75

now we have:
63.75 is 18.75% of 340