61.25 is what percent of 1746.5 - 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 1746.5 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 1746.5, so we can write it down as 100%=1746.5.
4. We know, that x% equals 61.25 of the output value, so we can write it down as x%=61.25.
5. Now we have two simple equations:
1) 100%=1746.5
2) x%=61.25
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%=1746.5/61.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 61.25 is what percent of 1746.5

100%/x%=1746.5/61.25
(100/x)*x=(1746.5/61.25)*x       - we multiply both sides of the equation by x
100=28.514285714286*x       - we divide both sides of the equation by (28.514285714286) to get x
100/28.514285714286=x
3.5070140280561=x
x=3.5070140280561

now we have:
61.25 is 3.5070140280561% of 1746.5