1751.7 is what percent of 38.5 - 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 38.5 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 38.5, so we can write it down as 100%=38.5.
4. We know, that x% equals 1751.7 of the output value, so we can write it down as x%=1751.7.
5. Now we have two simple equations:
1) 100%=38.5
2) x%=1751.7
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%=38.5/1751.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1751.7 is what percent of 38.5

100%/x%=38.5/1751.7
(100/x)*x=(38.5/1751.7)*x       - we multiply both sides of the equation by x
100=0.021978649312097*x       - we divide both sides of the equation by (0.021978649312097) to get x
100/0.021978649312097=x
4549.8701298701=x
x=4549.8701298701

now we have:
1751.7 is 4549.8701298701% of 38.5