147.05 is what percent of 1574.38 - 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 1574.38 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 1574.38, so we can write it down as 100%=1574.38.
4. We know, that x% equals 147.05 of the output value, so we can write it down as x%=147.05.
5. Now we have two simple equations:
1) 100%=1574.38
2) x%=147.05
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%=1574.38/147.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 147.05 is what percent of 1574.38

100%/x%=1574.38/147.05
(100/x)*x=(1574.38/147.05)*x       - we multiply both sides of the equation by x
100=10.706426385583*x       - we divide both sides of the equation by (10.706426385583) to get x
100/10.706426385583=x
9.3401847076309=x
x=9.3401847076309

now we have:
147.05 is 9.3401847076309% of 1574.38