20.47 is what percent of 102.34 - 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 102.34 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 102.34, so we can write it down as 100%=102.34.
4. We know, that x% equals 20.47 of the output value, so we can write it down as x%=20.47.
5. Now we have two simple equations:
1) 100%=102.34
2) x%=20.47
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%=102.34/20.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.47 is what percent of 102.34

100%/x%=102.34/20.47
(100/x)*x=(102.34/20.47)*x       - we multiply both sides of the equation by x
100=4.9995114802149*x       - we divide both sides of the equation by (4.9995114802149) to get x
100/4.9995114802149=x
20.00195427008=x
x=20.00195427008

now we have:
20.47 is 20.00195427008% of 102.34