To solve this problem lets assume, that the number 60 is 100% - because it's the output value of the task. <span>We assume, that x is the value we are looking for. </span><span>If 100% equals 60, so we can write it down as 100%=60. </span><span>We know, that x% equals 120 of the output value, so we can write it down as x%=120. </span>Now we have two simple equations: <u>1)100%=60</u> <u>2) x%=120</u> 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%=60/120. Now we just have to solve the simple equation, and we will get the solution we are looking for.
<em>Solution for 120 is what percent of 60</em>
<em>100%/x%=60/120</em> <span><em>(100/x)*x=(60/120)*x - </em></span><em>we multiply both sides of the equation by x</em> <span><em>100=0.5*x - </em></span><em>we divide both sides of the equation by (0.5) to get x</em> <span><em>100/0.5=x </em></span> <span><em>200=x </em></span> <em>x=200</em>
<span><em>now we have: </em></span> <span><em>120 is 200% of 60</em></span>