47.25 is what percent of 174.95 - 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 174.95 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 174.95, so we can write it down as 100%=174.95.
4. We know, that x% equals 47.25 of the output value, so we can write it down as x%=47.25.
5. Now we have two simple equations:
1) 100%=174.95
2) x%=47.25
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%=174.95/47.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.25 is what percent of 174.95

100%/x%=174.95/47.25
(100/x)*x=(174.95/47.25)*x       - we multiply both sides of the equation by x
100=3.7026455026455*x       - we divide both sides of the equation by (3.7026455026455) to get x
100/3.7026455026455=x
27.007716490426=x
x=27.007716490426

now we have:
47.25 is 27.007716490426% of 174.95