What is 10.852 percent of 4.99 - 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 4.99 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 4.99 is 100%, so we can write it down as 4.99=100%.
4. We know, that x is 10.852% of the output value, so we can write it down as x=10.852%.
5. Now we have two simple equations:
1) 4.99=100%
2) x=10.852%
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:
4.99/x=100%/10.852%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 10.852% of 4.99

4.99/x=100/10.852
(4.99/x)*x=(100/10.852)*x       - we multiply both sides of the equation by x
4.99=9.2148912642831*x       - we divide both sides of the equation by (9.2148912642831) to get x
4.99/9.2148912642831=x
0.5415148=x
x=0.5415148

now we have:
10.852% of 4.99=0.5415148