188.5 is what percent of 551.5 - 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 551.5 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 551.5, so we can write it down as 100%=551.5.
4. We know, that x% equals 188.5 of the output value, so we can write it down as x%=188.5.
5. Now we have two simple equations:
1) 100%=551.5
2) x%=188.5
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%=551.5/188.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 188.5 is what percent of 551.5

100%/x%=551.5/188.5
(100/x)*x=(551.5/188.5)*x       - we multiply both sides of the equation by x
100=2.9257294429708*x       - we divide both sides of the equation by (2.9257294429708) to get x
100/2.9257294429708=x
34.179510426111=x
x=34.179510426111

now we have:
188.5 is 34.179510426111% of 551.5