17.87 is what percent of 274.98 - 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 274.98 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 274.98, so we can write it down as 100%=274.98.
4. We know, that x% equals 17.87 of the output value, so we can write it down as x%=17.87.
5. Now we have two simple equations:
1) 100%=274.98
2) x%=17.87
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%=274.98/17.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.87 is what percent of 274.98

100%/x%=274.98/17.87
(100/x)*x=(274.98/17.87)*x       - we multiply both sides of the equation by x
100=15.387800783436*x       - we divide both sides of the equation by (15.387800783436) to get x
100/15.387800783436=x
6.4986544475962=x
x=6.4986544475962

now we have:
17.87 is 6.4986544475962% of 274.98