598.87 is what percent of 4.125 - 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 4.125 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 4.125, so we can write it down as 100%=4.125.
4. We know, that x% equals 598.87 of the output value, so we can write it down as x%=598.87.
5. Now we have two simple equations:
1) 100%=4.125
2) x%=598.87
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%=4.125/598.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 598.87 is what percent of 4.125

100%/x%=4.125/598.87
(100/x)*x=(4.125/598.87)*x       - we multiply both sides of the equation by x
100=0.0068879723479219*x       - we divide both sides of the equation by (0.0068879723479219) to get x
100/0.0068879723479219=x
14518.060606061=x
x=14518.060606061

now we have:
598.87 is 14518.060606061% of 4.125