10.5 is what percent of 18.7 - 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 18.7 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 18.7, so we can write it down as 100%=18.7.
4. We know, that x% equals 10.5 of the output value, so we can write it down as x%=10.5.
5. Now we have two simple equations:
1) 100%=18.7
2) x%=10.5
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%=18.7/10.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.5 is what percent of 18.7

100%/x%=18.7/10.5
(100/x)*x=(18.7/10.5)*x       - we multiply both sides of the equation by x
100=1.7809523809524*x       - we divide both sides of the equation by (1.7809523809524) to get x
100/1.7809523809524=x
56.149732620321=x
x=56.149732620321

now we have:
10.5 is 56.149732620321% of 18.7