4.99 is what percent of 9.94 - 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 9.94 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 9.94, so we can write it down as 100%=9.94.
4. We know, that x% equals 4.99 of the output value, so we can write it down as x%=4.99.
5. Now we have two simple equations:
1) 100%=9.94
2) x%=4.99
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%=9.94/4.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.99 is what percent of 9.94

100%/x%=9.94/4.99
(100/x)*x=(9.94/4.99)*x       - we multiply both sides of the equation by x
100=1.9919839679359*x       - we divide both sides of the equation by (1.9919839679359) to get x
100/1.9919839679359=x
50.201207243461=x
x=50.201207243461

now we have:
4.99 is 50.201207243461% of 9.94