315.88 is what percent of 643.65 - 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 643.65 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 643.65, so we can write it down as 100%=643.65.
4. We know, that x% equals 315.88 of the output value, so we can write it down as x%=315.88.
5. Now we have two simple equations:
1) 100%=643.65
2) x%=315.88
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%=643.65/315.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 315.88 is what percent of 643.65

100%/x%=643.65/315.88
(100/x)*x=(643.65/315.88)*x       - we multiply both sides of the equation by x
100=2.0376408762821*x       - we divide both sides of the equation by (2.0376408762821) to get x
100/2.0376408762821=x
49.076361376525=x
x=49.076361376525

now we have:
315.88 is 49.076361376525% of 643.65