145.32 is what percent of 45.56 - 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 45.56 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 45.56, so we can write it down as 100%=45.56.
4. We know, that x% equals 145.32 of the output value, so we can write it down as x%=145.32.
5. Now we have two simple equations:
1) 100%=45.56
2) x%=145.32
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%=45.56/145.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 145.32 is what percent of 45.56

100%/x%=45.56/145.32
(100/x)*x=(45.56/145.32)*x       - we multiply both sides of the equation by x
100=0.31351500137627*x       - we divide both sides of the equation by (0.31351500137627) to get x
100/0.31351500137627=x
318.96400351185=x
x=318.96400351185

now we have:
145.32 is 318.96400351185% of 45.56