4.98 is what percent of 42.23 - 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 42.23 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 42.23, so we can write it down as 100%=42.23.
4. We know, that x% equals 4.98 of the output value, so we can write it down as x%=4.98.
5. Now we have two simple equations:
1) 100%=42.23
2) x%=4.98
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%=42.23/4.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.98 is what percent of 42.23

100%/x%=42.23/4.98
(100/x)*x=(42.23/4.98)*x       - we multiply both sides of the equation by x
100=8.4799196787149*x       - we divide both sides of the equation by (8.4799196787149) to get x
100/8.4799196787149=x
11.792564527587=x
x=11.792564527587

now we have:
4.98 is 11.792564527587% of 42.23