53.7 is what percent of 17.7 - 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 17.7 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 17.7, so we can write it down as 100%=17.7.
4. We know, that x% equals 53.7 of the output value, so we can write it down as x%=53.7.
5. Now we have two simple equations:
1) 100%=17.7
2) x%=53.7
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%=17.7/53.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.7 is what percent of 17.7

100%/x%=17.7/53.7
(100/x)*x=(17.7/53.7)*x       - we multiply both sides of the equation by x
100=0.32960893854749*x       - we divide both sides of the equation by (0.32960893854749) to get x
100/0.32960893854749=x
303.38983050847=x
x=303.38983050847

now we have:
53.7 is 303.38983050847% of 17.7