45.58 is what percent of 643.32 - 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 643.32 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 643.32, so we can write it down as 100%=643.32.
4. We know, that x% equals 45.58 of the output value, so we can write it down as x%=45.58.
5. Now we have two simple equations:
1) 100%=643.32
2) x%=45.58
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%=643.32/45.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.58 is what percent of 643.32

100%/x%=643.32/45.58
(100/x)*x=(643.32/45.58)*x       - we multiply both sides of the equation by x
100=14.114085125055*x       - we divide both sides of the equation by (14.114085125055) to get x
100/14.114085125055=x
7.0851209351489=x
x=7.0851209351489

now we have:
45.58 is 7.0851209351489% of 643.32