3.33 is what percent of 157.14 - 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 157.14 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 157.14, so we can write it down as 100%=157.14.
4. We know, that x% equals 3.33 of the output value, so we can write it down as x%=3.33.
5. Now we have two simple equations:
1) 100%=157.14
2) x%=3.33
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%=157.14/3.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.33 is what percent of 157.14

100%/x%=157.14/3.33
(100/x)*x=(157.14/3.33)*x       - we multiply both sides of the equation by x
100=47.189189189189*x       - we divide both sides of the equation by (47.189189189189) to get x
100/47.189189189189=x
2.1191294387171=x
x=2.1191294387171

now we have:
3.33 is 2.1191294387171% of 157.14