5123.46 is what percent of 7900 - 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 7900 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 7900, so we can write it down as 100%=7900.
4. We know, that x% equals 5123.46 of the output value, so we can write it down as x%=5123.46.
5. Now we have two simple equations:
1) 100%=7900
2) x%=5123.46
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%=7900/5123.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5123.46 is what percent of 7900

100%/x%=7900/5123.46
(100/x)*x=(7900/5123.46)*x       - we multiply both sides of the equation by x
100=1.541926744817*x       - we divide both sides of the equation by (1.541926744817) to get x
100/1.541926744817=x
64.853924050633=x
x=64.853924050633

now we have:
5123.46 is 64.853924050633% of 7900