47.02 is what percent of 334.79 - 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 334.79 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 334.79, so we can write it down as 100%=334.79.
4. We know, that x% equals 47.02 of the output value, so we can write it down as x%=47.02.
5. Now we have two simple equations:
1) 100%=334.79
2) x%=47.02
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%=334.79/47.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.02 is what percent of 334.79

100%/x%=334.79/47.02
(100/x)*x=(334.79/47.02)*x       - we multiply both sides of the equation by x
100=7.1201616333475*x       - we divide both sides of the equation by (7.1201616333475) to get x
100/7.1201616333475=x
14.044624988799=x
x=14.044624988799

now we have:
47.02 is 14.044624988799% of 334.79