20.3 is what percent of 187.4 - 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 187.4 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 187.4, so we can write it down as 100%=187.4.
4. We know, that x% equals 20.3 of the output value, so we can write it down as x%=20.3.
5. Now we have two simple equations:
1) 100%=187.4
2) x%=20.3
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%=187.4/20.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.3 is what percent of 187.4

100%/x%=187.4/20.3
(100/x)*x=(187.4/20.3)*x       - we multiply both sides of the equation by x
100=9.2315270935961*x       - we divide both sides of the equation by (9.2315270935961) to get x
100/9.2315270935961=x
10.832443970117=x
x=10.832443970117

now we have:
20.3 is 10.832443970117% of 187.4