0.35 is what percent of 61.78 - 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 61.78 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 61.78, so we can write it down as 100%=61.78.
4. We know, that x% equals 0.35 of the output value, so we can write it down as x%=0.35.
5. Now we have two simple equations:
1) 100%=61.78
2) x%=0.35
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%=61.78/0.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.35 is what percent of 61.78

100%/x%=61.78/0.35
(100/x)*x=(61.78/0.35)*x       - we multiply both sides of the equation by x
100=176.51428571429*x       - we divide both sides of the equation by (176.51428571429) to get x
100/176.51428571429=x
0.56652638394302=x
x=0.56652638394302

now we have:
0.35 is 0.56652638394302% of 61.78