19.27 is what percent of 45.99 - 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 45.99 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 45.99, so we can write it down as 100%=45.99.
4. We know, that x% equals 19.27 of the output value, so we can write it down as x%=19.27.
5. Now we have two simple equations:
1) 100%=45.99
2) x%=19.27
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%=45.99/19.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.27 is what percent of 45.99

100%/x%=45.99/19.27
(100/x)*x=(45.99/19.27)*x       - we multiply both sides of the equation by x
100=2.3866113129216*x       - we divide both sides of the equation by (2.3866113129216) to get x
100/2.3866113129216=x
41.90041313329=x
x=41.90041313329

now we have:
19.27 is 41.90041313329% of 45.99