247.29 is what percent of 165.25 - 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 165.25 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 165.25, so we can write it down as 100%=165.25.
4. We know, that x% equals 247.29 of the output value, so we can write it down as x%=247.29.
5. Now we have two simple equations:
1) 100%=165.25
2) x%=247.29
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%=165.25/247.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 247.29 is what percent of 165.25

100%/x%=165.25/247.29
(100/x)*x=(165.25/247.29)*x       - we multiply both sides of the equation by x
100=0.66824376238425*x       - we divide both sides of the equation by (0.66824376238425) to get x
100/0.66824376238425=x
149.64599092284=x
x=149.64599092284

now we have:
247.29 is 149.64599092284% of 165.25