61.14 is what percent of 83.77 - 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 83.77 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 83.77, so we can write it down as 100%=83.77.
4. We know, that x% equals 61.14 of the output value, so we can write it down as x%=61.14.
5. Now we have two simple equations:
1) 100%=83.77
2) x%=61.14
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%=83.77/61.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 61.14 is what percent of 83.77

100%/x%=83.77/61.14
(100/x)*x=(83.77/61.14)*x       - we multiply both sides of the equation by x
100=1.3701341184167*x       - we divide both sides of the equation by (1.3701341184167) to get x
100/1.3701341184167=x
72.985555688194=x
x=72.985555688194

now we have:
61.14 is 72.985555688194% of 83.77