0.73 is what percent of 142.35 - 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 142.35 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 142.35, so we can write it down as 100%=142.35.
4. We know, that x% equals 0.73 of the output value, so we can write it down as x%=0.73.
5. Now we have two simple equations:
1) 100%=142.35
2) x%=0.73
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%=142.35/0.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.73 is what percent of 142.35

100%/x%=142.35/0.73
(100/x)*x=(142.35/0.73)*x       - we multiply both sides of the equation by x
100=195*x       - we divide both sides of the equation by (195) to get x
100/195=x
0.51282051282051=x
x=0.51282051282051

now we have:
0.73 is 0.51282051282051% of 142.35