10.03 is what percent of 45.77 - 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 45.77 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 45.77, so we can write it down as 100%=45.77.
4. We know, that x% equals 10.03 of the output value, so we can write it down as x%=10.03.
5. Now we have two simple equations:
1) 100%=45.77
2) x%=10.03
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%=45.77/10.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.03 is what percent of 45.77

100%/x%=45.77/10.03
(100/x)*x=(45.77/10.03)*x       - we multiply both sides of the equation by x
100=4.5633100697906*x       - we divide both sides of the equation by (4.5633100697906) to get x
100/4.5633100697906=x
21.913917413153=x
x=21.913917413153

now we have:
10.03 is 21.913917413153% of 45.77