45.74 is what percent of 43.055 - 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 43.055 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 43.055, so we can write it down as 100%=43.055.
4. We know, that x% equals 45.74 of the output value, so we can write it down as x%=45.74.
5. Now we have two simple equations:
1) 100%=43.055
2) x%=45.74
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%=43.055/45.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.74 is what percent of 43.055

100%/x%=43.055/45.74
(100/x)*x=(43.055/45.74)*x       - we multiply both sides of the equation by x
100=0.94129864451246*x       - we divide both sides of the equation by (0.94129864451246) to get x
100/0.94129864451246=x
106.23620949948=x
x=106.23620949948

now we have:
45.74 is 106.23620949948% of 43.055