343.75 is what percent of 637.5 - 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 637.5 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 637.5, so we can write it down as 100%=637.5.
4. We know, that x% equals 343.75 of the output value, so we can write it down as x%=343.75.
5. Now we have two simple equations:
1) 100%=637.5
2) x%=343.75
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%=637.5/343.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 343.75 is what percent of 637.5

100%/x%=637.5/343.75
(100/x)*x=(637.5/343.75)*x       - we multiply both sides of the equation by x
100=1.8545454545455*x       - we divide both sides of the equation by (1.8545454545455) to get x
100/1.8545454545455=x
53.921568627451=x
x=53.921568627451

now we have:
343.75 is 53.921568627451% of 637.5