42.99 is what percent of 5.423 - 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 5.423 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 5.423, so we can write it down as 100%=5.423.
4. We know, that x% equals 42.99 of the output value, so we can write it down as x%=42.99.
5. Now we have two simple equations:
1) 100%=5.423
2) x%=42.99
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%=5.423/42.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.99 is what percent of 5.423

100%/x%=5.423/42.99
(100/x)*x=(5.423/42.99)*x       - we multiply both sides of the equation by x
100=0.12614561525936*x       - we divide both sides of the equation by (0.12614561525936) to get x
100/0.12614561525936=x
792.73464871842=x
x=792.73464871842

now we have:
42.99 is 792.73464871842% of 5.423