61.94 is what percent of 73.687 - 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 73.687 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 73.687, so we can write it down as 100%=73.687.
4. We know, that x% equals 61.94 of the output value, so we can write it down as x%=61.94.
5. Now we have two simple equations:
1) 100%=73.687
2) x%=61.94
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%=73.687/61.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 61.94 is what percent of 73.687

100%/x%=73.687/61.94
(100/x)*x=(73.687/61.94)*x       - we multiply both sides of the equation by x
100=1.1896512754278*x       - we divide both sides of the equation by (1.1896512754278) to get x
100/1.1896512754278=x
84.058246366388=x
x=84.058246366388

now we have:
61.94 is 84.058246366388% of 73.687