148.43 is what percent of 3575 - 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 3575 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 3575, so we can write it down as 100%=3575.
4. We know, that x% equals 148.43 of the output value, so we can write it down as x%=148.43.
5. Now we have two simple equations:
1) 100%=3575
2) x%=148.43
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%=3575/148.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 148.43 is what percent of 3575

100%/x%=3575/148.43
(100/x)*x=(3575/148.43)*x       - we multiply both sides of the equation by x
100=24.08542747423*x       - we divide both sides of the equation by (24.08542747423) to get x
100/24.08542747423=x
4.1518881118881=x
x=4.1518881118881

now we have:
148.43 is 4.1518881118881% of 3575