149.91 is what percent of 3005.63 - 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 3005.63 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 3005.63, so we can write it down as 100%=3005.63.
4. We know, that x% equals 149.91 of the output value, so we can write it down as x%=149.91.
5. Now we have two simple equations:
1) 100%=3005.63
2) x%=149.91
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%=3005.63/149.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 149.91 is what percent of 3005.63

100%/x%=3005.63/149.91
(100/x)*x=(3005.63/149.91)*x       - we multiply both sides of the equation by x
100=20.049563071176*x       - we divide both sides of the equation by (20.049563071176) to get x
100/20.049563071176=x
4.9876398625247=x
x=4.9876398625247

now we have:
149.91 is 4.9876398625247% of 3005.63