147.85 is what percent of 2384.62 - 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 2384.62 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 2384.62, so we can write it down as 100%=2384.62.
4. We know, that x% equals 147.85 of the output value, so we can write it down as x%=147.85.
5. Now we have two simple equations:
1) 100%=2384.62
2) x%=147.85
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%=2384.62/147.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 147.85 is what percent of 2384.62

100%/x%=2384.62/147.85
(100/x)*x=(2384.62/147.85)*x       - we multiply both sides of the equation by x
100=16.12864389584*x       - we divide both sides of the equation by (16.12864389584) to get x
100/16.12864389584=x
6.2001492900336=x
x=6.2001492900336

now we have:
147.85 is 6.2001492900336% of 2384.62