37.23 is what percent of 41.42 - 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 41.42 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 41.42, so we can write it down as 100%=41.42.
4. We know, that x% equals 37.23 of the output value, so we can write it down as x%=37.23.
5. Now we have two simple equations:
1) 100%=41.42
2) x%=37.23
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%=41.42/37.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.23 is what percent of 41.42

100%/x%=41.42/37.23
(100/x)*x=(41.42/37.23)*x       - we multiply both sides of the equation by x
100=1.112543647596*x       - we divide both sides of the equation by (1.112543647596) to get x
100/1.112543647596=x
89.884113954611=x
x=89.884113954611

now we have:
37.23 is 89.884113954611% of 41.42