4.23 is what percent of 1022.13 - 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 1022.13 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 1022.13, so we can write it down as 100%=1022.13.
4. We know, that x% equals 4.23 of the output value, so we can write it down as x%=4.23.
5. Now we have two simple equations:
1) 100%=1022.13
2) x%=4.23
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%=1022.13/4.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.23 is what percent of 1022.13

100%/x%=1022.13/4.23
(100/x)*x=(1022.13/4.23)*x       - we multiply both sides of the equation by x
100=241.63829787234*x       - we divide both sides of the equation by (241.63829787234) to get x
100/241.63829787234=x
0.41384168354319=x
x=0.41384168354319

now we have:
4.23 is 0.41384168354319% of 1022.13