42.34 is what percent of 1923.67 - 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 1923.67 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 1923.67, so we can write it down as 100%=1923.67.
4. We know, that x% equals 42.34 of the output value, so we can write it down as x%=42.34.
5. Now we have two simple equations:
1) 100%=1923.67
2) x%=42.34
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%=1923.67/42.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.34 is what percent of 1923.67

100%/x%=1923.67/42.34
(100/x)*x=(1923.67/42.34)*x       - we multiply both sides of the equation by x
100=45.433868682097*x       - we divide both sides of the equation by (45.433868682097) to get x
100/45.433868682097=x
2.2010012112265=x
x=2.2010012112265

now we have:
42.34 is 2.2010012112265% of 1923.67