42.53 is what percent of 32.23 - 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 32.23 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 32.23, so we can write it down as 100%=32.23.
4. We know, that x% equals 42.53 of the output value, so we can write it down as x%=42.53.
5. Now we have two simple equations:
1) 100%=32.23
2) x%=42.53
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%=32.23/42.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.53 is what percent of 32.23

100%/x%=32.23/42.53
(100/x)*x=(32.23/42.53)*x       - we multiply both sides of the equation by x
100=0.75781801081589*x       - we divide both sides of the equation by (0.75781801081589) to get x
100/0.75781801081589=x
131.95780328886=x
x=131.95780328886

now we have:
42.53 is 131.95780328886% of 32.23