6.62 is what percent of 46.77 - 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 46.77 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 46.77, so we can write it down as 100%=46.77.
4. We know, that x% equals 6.62 of the output value, so we can write it down as x%=6.62.
5. Now we have two simple equations:
1) 100%=46.77
2) x%=6.62
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%=46.77/6.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.62 is what percent of 46.77

100%/x%=46.77/6.62
(100/x)*x=(46.77/6.62)*x       - we multiply both sides of the equation by x
100=7.0649546827795*x       - we divide both sides of the equation by (7.0649546827795) to get x
100/7.0649546827795=x
14.154372460979=x
x=14.154372460979

now we have:
6.62 is 14.154372460979% of 46.77