47.46 is what percent of 73.61 - 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 73.61 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 73.61, so we can write it down as 100%=73.61.
4. We know, that x% equals 47.46 of the output value, so we can write it down as x%=47.46.
5. Now we have two simple equations:
1) 100%=73.61
2) x%=47.46
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%=73.61/47.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.46 is what percent of 73.61

100%/x%=73.61/47.46
(100/x)*x=(73.61/47.46)*x       - we multiply both sides of the equation by x
100=1.5509903076275*x       - we divide both sides of the equation by (1.5509903076275) to get x
100/1.5509903076275=x
64.474935470724=x
x=64.474935470724

now we have:
47.46 is 64.474935470724% of 73.61