4.94 is what percent of 48.99 - 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 48.99 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 48.99, so we can write it down as 100%=48.99.
4. We know, that x% equals 4.94 of the output value, so we can write it down as x%=4.94.
5. Now we have two simple equations:
1) 100%=48.99
2) x%=4.94
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%=48.99/4.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.94 is what percent of 48.99

100%/x%=48.99/4.94
(100/x)*x=(48.99/4.94)*x       - we multiply both sides of the equation by x
100=9.917004048583*x       - we divide both sides of the equation by (9.917004048583) to get x
100/9.917004048583=x
10.083690549092=x
x=10.083690549092

now we have:
4.94 is 10.083690549092% of 48.99