174.02 is what percent of 2047.25 - 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 2047.25 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 2047.25, so we can write it down as 100%=2047.25.
4. We know, that x% equals 174.02 of the output value, so we can write it down as x%=174.02.
5. Now we have two simple equations:
1) 100%=2047.25
2) x%=174.02
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%=2047.25/174.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 174.02 is what percent of 2047.25

100%/x%=2047.25/174.02
(100/x)*x=(2047.25/174.02)*x       - we multiply both sides of the equation by x
100=11.764452361797*x       - we divide both sides of the equation by (11.764452361797) to get x
100/11.764452361797=x
8.5001831725485=x
x=8.5001831725485

now we have:
174.02 is 8.5001831725485% of 2047.25