61.36 is what percent of 343.86 - 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 343.86 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 343.86, so we can write it down as 100%=343.86.
4. We know, that x% equals 61.36 of the output value, so we can write it down as x%=61.36.
5. Now we have two simple equations:
1) 100%=343.86
2) x%=61.36
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%=343.86/61.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 61.36 is what percent of 343.86

100%/x%=343.86/61.36
(100/x)*x=(343.86/61.36)*x       - we multiply both sides of the equation by x
100=5.6039765319426*x       - we divide both sides of the equation by (5.6039765319426) to get x
100/5.6039765319426=x
17.844471587274=x
x=17.844471587274

now we have:
61.36 is 17.844471587274% of 343.86