176.2 is what percent of 1538 - 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 1538 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 1538, so we can write it down as 100%=1538.
4. We know, that x% equals 176.2 of the output value, so we can write it down as x%=176.2.
5. Now we have two simple equations:
1) 100%=1538
2) x%=176.2
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%=1538/176.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 176.2 is what percent of 1538

100%/x%=1538/176.2
(100/x)*x=(1538/176.2)*x       - we multiply both sides of the equation by x
100=8.7287173666288*x       - we divide both sides of the equation by (8.7287173666288) to get x
100/8.7287173666288=x
11.456436931079=x
x=11.456436931079

now we have:
176.2 is 11.456436931079% of 1538