61.8 is what percent of 317 - 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 317 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 317, so we can write it down as 100%=317.
4. We know, that x% equals 61.8 of the output value, so we can write it down as x%=61.8.
5. Now we have two simple equations:
1) 100%=317
2) x%=61.8
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%=317/61.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 61.8 is what percent of 317

100%/x%=317/61.8
(100/x)*x=(317/61.8)*x       - we multiply both sides of the equation by x
100=5.1294498381877*x       - we divide both sides of the equation by (5.1294498381877) to get x
100/5.1294498381877=x
19.495268138801=x
x=19.495268138801

now we have:
61.8 is 19.495268138801% of 317