99.92 is what percent of 4589.74 - 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 4589.74 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 4589.74, so we can write it down as 100%=4589.74.
4. We know, that x% equals 99.92 of the output value, so we can write it down as x%=99.92.
5. Now we have two simple equations:
1) 100%=4589.74
2) x%=99.92
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%=4589.74/99.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99.92 is what percent of 4589.74

100%/x%=4589.74/99.92
(100/x)*x=(4589.74/99.92)*x       - we multiply both sides of the equation by x
100=45.934147317854*x       - we divide both sides of the equation by (45.934147317854) to get x
100/45.934147317854=x
2.1770296356656=x
x=2.1770296356656

now we have:
99.92 is 2.1770296356656% of 4589.74