37.71 is what percent of 210 - 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 210 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 210, so we can write it down as 100%=210.
4. We know, that x% equals 37.71 of the output value, so we can write it down as x%=37.71.
5. Now we have two simple equations:
1) 100%=210
2) x%=37.71
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%=210/37.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.71 is what percent of 210

100%/x%=210/37.71
(100/x)*x=(210/37.71)*x       - we multiply both sides of the equation by x
100=5.568814638027*x       - we divide both sides of the equation by (5.568814638027) to get x
100/5.568814638027=x
17.957142857143=x
x=17.957142857143

now we have:
37.71 is 17.957142857143% of 210