174.58 is what percent of 776.25 - 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 776.25 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 776.25, so we can write it down as 100%=776.25.
4. We know, that x% equals 174.58 of the output value, so we can write it down as x%=174.58.
5. Now we have two simple equations:
1) 100%=776.25
2) x%=174.58
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%=776.25/174.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 174.58 is what percent of 776.25

100%/x%=776.25/174.58
(100/x)*x=(776.25/174.58)*x       - we multiply both sides of the equation by x
100=4.4463856111811*x       - we divide both sides of the equation by (4.4463856111811) to get x
100/4.4463856111811=x
22.490177133655=x
x=22.490177133655

now we have:
174.58 is 22.490177133655% of 776.25