4.61 is what percent of 6.99 - 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 6.99 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 6.99, so we can write it down as 100%=6.99.
4. We know, that x% equals 4.61 of the output value, so we can write it down as x%=4.61.
5. Now we have two simple equations:
1) 100%=6.99
2) x%=4.61
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%=6.99/4.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.61 is what percent of 6.99

100%/x%=6.99/4.61
(100/x)*x=(6.99/4.61)*x       - we multiply both sides of the equation by x
100=1.5162689804772*x       - we divide both sides of the equation by (1.5162689804772) to get x
100/1.5162689804772=x
65.951359084406=x
x=65.951359084406

now we have:
4.61 is 65.951359084406% of 6.99