61.56 is what percent of 67.41 - 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 67.41 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 67.41, so we can write it down as 100%=67.41.
4. We know, that x% equals 61.56 of the output value, so we can write it down as x%=61.56.
5. Now we have two simple equations:
1) 100%=67.41
2) x%=61.56
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%=67.41/61.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 61.56 is what percent of 67.41

100%/x%=67.41/61.56
(100/x)*x=(67.41/61.56)*x       - we multiply both sides of the equation by x
100=1.0950292397661*x       - we divide both sides of the equation by (1.0950292397661) to get x
100/1.0950292397661=x
91.3217623498=x
x=91.3217623498

now we have:
61.56 is 91.3217623498% of 67.41