47 is what percent of 667.5 - 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 667.5 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 667.5, so we can write it down as 100%=667.5.
4. We know, that x% equals 47 of the output value, so we can write it down as x%=47.
5. Now we have two simple equations:
1) 100%=667.5
2) x%=47
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%=667.5/47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47 is what percent of 667.5

100%/x%=667.5/47
(100/x)*x=(667.5/47)*x       - we multiply both sides of the equation by x
100=14.202127659574*x       - we divide both sides of the equation by (14.202127659574) to get x
100/14.202127659574=x
7.0411985018727=x
x=7.0411985018727

now we have:
47 is 7.0411985018727% of 667.5