155.66 is what percent of 4.642 - 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 4.642 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 4.642, so we can write it down as 100%=4.642.
4. We know, that x% equals 155.66 of the output value, so we can write it down as x%=155.66.
5. Now we have two simple equations:
1) 100%=4.642
2) x%=155.66
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%=4.642/155.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 155.66 is what percent of 4.642

100%/x%=4.642/155.66
(100/x)*x=(4.642/155.66)*x       - we multiply both sides of the equation by x
100=0.02982140562765*x       - we divide both sides of the equation by (0.02982140562765) to get x
100/0.02982140562765=x
3353.2959931064=x
x=3353.2959931064

now we have:
155.66 is 3353.2959931064% of 4.642