49 is what percent of 463.75 - 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 463.75 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 463.75, so we can write it down as 100%=463.75.
4. We know, that x% equals 49 of the output value, so we can write it down as x%=49.
5. Now we have two simple equations:
1) 100%=463.75
2) x%=49
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%=463.75/49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49 is what percent of 463.75

100%/x%=463.75/49
(100/x)*x=(463.75/49)*x       - we multiply both sides of the equation by x
100=9.4642857142857*x       - we divide both sides of the equation by (9.4642857142857) to get x
100/9.4642857142857=x
10.566037735849=x
x=10.566037735849

now we have:
49 is 10.566037735849% of 463.75