15744.9 is what percent of 149859.46 - 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 149859.46 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 149859.46, so we can write it down as 100%=149859.46.
4. We know, that x% equals 15744.9 of the output value, so we can write it down as x%=15744.9.
5. Now we have two simple equations:
1) 100%=149859.46
2) x%=15744.9
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%=149859.46/15744.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15744.9 is what percent of 149859.46

100%/x%=149859.46/15744.9
(100/x)*x=(149859.46/15744.9)*x       - we multiply both sides of the equation by x
100=9.517968358008*x       - we divide both sides of the equation by (9.517968358008) to get x
100/9.517968358008=x
10.506443837446=x
x=10.506443837446

now we have:
15744.9 is 10.506443837446% of 149859.46